TSTP Solution File: SWC076+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC076+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Jul 19 19:33:34 EDT 2022
% Result : Theorem 3.11s 3.51s
% Output : Refutation 3.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWC076+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.14 % Command : bliksem %s
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % DateTime : Sun Jun 12 03:39:04 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.77/1.18 *** allocated 10000 integers for termspace/termends
% 0.77/1.18 *** allocated 10000 integers for clauses
% 0.77/1.18 *** allocated 10000 integers for justifications
% 0.77/1.18 Bliksem 1.12
% 0.77/1.18
% 0.77/1.18
% 0.77/1.18 Automatic Strategy Selection
% 0.77/1.18
% 0.77/1.18 *** allocated 15000 integers for termspace/termends
% 0.77/1.18
% 0.77/1.18 Clauses:
% 0.77/1.18
% 0.77/1.18 { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ), ! X = Y }.
% 0.77/1.18 { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X, Y ) }.
% 0.77/1.18 { ssItem( skol1 ) }.
% 0.77/1.18 { ssItem( skol47 ) }.
% 0.77/1.18 { ! skol1 = skol47 }.
% 0.77/1.18 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), ssList( skol2( Z, T ) )
% 0.77/1.18 }.
% 0.77/1.18 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), alpha1( X, Y, skol2( X,
% 0.77/1.18 Y ) ) }.
% 0.77/1.18 { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ), ! alpha1( X, Y, Z ), memberP
% 0.77/1.18 ( X, Y ) }.
% 0.77/1.18 { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W ) ) }.
% 0.77/1.18 { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3( X, Y, Z ) ) ) = X }.
% 0.77/1.18 { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X, alpha1( X, Y, Z ) }.
% 0.77/1.18 { ! ssList( X ), ! singletonP( X ), ssItem( skol4( Y ) ) }.
% 0.77/1.18 { ! ssList( X ), ! singletonP( X ), cons( skol4( X ), nil ) = X }.
% 0.77/1.18 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil ) = X, singletonP( X ) }.
% 0.77/1.18 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ssList( skol5( Z, T )
% 0.77/1.18 ) }.
% 0.77/1.18 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), app( Y, skol5( X, Y )
% 0.77/1.18 ) = X }.
% 0.77/1.18 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = X, frontsegP
% 0.77/1.18 ( X, Y ) }.
% 0.77/1.18 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ssList( skol6( Z, T ) )
% 0.77/1.18 }.
% 0.77/1.18 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), app( skol6( X, Y ), Y )
% 0.77/1.18 = X }.
% 0.77/1.18 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = X, rearsegP
% 0.77/1.18 ( X, Y ) }.
% 0.77/1.18 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ssList( skol7( Z, T ) )
% 0.77/1.18 }.
% 0.77/1.18 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), alpha2( X, Y, skol7( X
% 0.77/1.18 , Y ) ) }.
% 0.77/1.18 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! alpha2( X, Y, Z ),
% 0.77/1.18 segmentP( X, Y ) }.
% 0.77/1.18 { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W ) ) }.
% 0.77/1.18 { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8( X, Y, Z ) ) = X }.
% 0.77/1.18 { ! ssList( T ), ! app( app( Z, Y ), T ) = X, alpha2( X, Y, Z ) }.
% 0.77/1.18 { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y ), alpha3( X, Y ) }.
% 0.77/1.18 { ! ssList( X ), ssItem( skol9( Y ) ), cyclefreeP( X ) }.
% 0.77/1.18 { ! ssList( X ), ! alpha3( X, skol9( X ) ), cyclefreeP( X ) }.
% 0.77/1.18 { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y, Z ) }.
% 0.77/1.18 { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.77/1.18 { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X, Y ) }.
% 0.77/1.18 { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28( X, Y, Z, T ) }.
% 0.77/1.18 { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z ) }.
% 0.77/1.18 { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ), alpha21( X, Y, Z ) }.
% 0.77/1.18 { ! alpha28( X, Y, Z, T ), ! ssList( U ), alpha35( X, Y, Z, T, U ) }.
% 0.77/1.18 { ssList( skol12( U, W, V0, V1 ) ), alpha28( X, Y, Z, T ) }.
% 0.77/1.18 { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) ), alpha28( X, Y, Z, T ) }.
% 0.77/1.18 { ! alpha35( X, Y, Z, T, U ), ! ssList( W ), alpha41( X, Y, Z, T, U, W ) }
% 0.77/1.18 .
% 0.77/1.18 { ssList( skol13( W, V0, V1, V2, V3 ) ), alpha35( X, Y, Z, T, U ) }.
% 0.77/1.18 { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T, U ) ), alpha35( X, Y, Z, T
% 0.77/1.18 , U ) }.
% 0.77/1.18 { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.77/1.18 ) ) = X, alpha12( Y, Z ) }.
% 0.77/1.18 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha41( X, Y, Z, T, U,
% 0.77/1.18 W ) }.
% 0.77/1.18 { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W ) }.
% 0.77/1.18 { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X ) }.
% 0.77/1.18 { leq( X, Y ), alpha12( X, Y ) }.
% 0.77/1.18 { leq( Y, X ), alpha12( X, Y ) }.
% 0.77/1.18 { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y ), alpha4( X, Y ) }.
% 0.77/1.18 { ! ssList( X ), ssItem( skol14( Y ) ), totalorderP( X ) }.
% 0.77/1.18 { ! ssList( X ), ! alpha4( X, skol14( X ) ), totalorderP( X ) }.
% 0.77/1.18 { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y, Z ) }.
% 0.77/1.18 { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.77/1.18 { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X, Y ) }.
% 0.77/1.18 { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29( X, Y, Z, T ) }.
% 0.77/1.18 { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z ) }.
% 0.77/1.18 { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ), alpha22( X, Y, Z ) }.
% 0.77/1.18 { ! alpha29( X, Y, Z, T ), ! ssList( U ), alpha36( X, Y, Z, T, U ) }.
% 0.77/1.18 { ssList( skol17( U, W, V0, V1 ) ), alpha29( X, Y, Z, T ) }.
% 0.77/1.18 { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) ), alpha29( X, Y, Z, T ) }.
% 0.77/1.18 { ! alpha36( X, Y, Z, T, U ), ! ssList( W ), alpha42( X, Y, Z, T, U, W ) }
% 0.77/1.18 .
% 0.77/1.18 { ssList( skol18( W, V0, V1, V2, V3 ) ), alpha36( X, Y, Z, T, U ) }.
% 0.77/1.18 { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T, U ) ), alpha36( X, Y, Z, T
% 0.77/1.18 , U ) }.
% 0.77/1.18 { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.77/1.18 ) ) = X, alpha13( Y, Z ) }.
% 0.77/1.18 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha42( X, Y, Z, T, U,
% 0.77/1.18 W ) }.
% 0.77/1.18 { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W ) }.
% 0.77/1.18 { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X ) }.
% 0.77/1.18 { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.77/1.18 { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.77/1.18 { ! ssList( X ), ! strictorderP( X ), ! ssItem( Y ), alpha5( X, Y ) }.
% 0.77/1.18 { ! ssList( X ), ssItem( skol19( Y ) ), strictorderP( X ) }.
% 0.77/1.18 { ! ssList( X ), ! alpha5( X, skol19( X ) ), strictorderP( X ) }.
% 0.77/1.18 { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y, Z ) }.
% 0.77/1.18 { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.77/1.18 { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X, Y ) }.
% 0.77/1.18 { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30( X, Y, Z, T ) }.
% 0.77/1.19 { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z ) }.
% 0.77/1.19 { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ), alpha23( X, Y, Z ) }.
% 0.77/1.19 { ! alpha30( X, Y, Z, T ), ! ssList( U ), alpha37( X, Y, Z, T, U ) }.
% 0.77/1.19 { ssList( skol22( U, W, V0, V1 ) ), alpha30( X, Y, Z, T ) }.
% 0.77/1.19 { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) ), alpha30( X, Y, Z, T ) }.
% 0.77/1.19 { ! alpha37( X, Y, Z, T, U ), ! ssList( W ), alpha43( X, Y, Z, T, U, W ) }
% 0.77/1.19 .
% 0.77/1.19 { ssList( skol23( W, V0, V1, V2, V3 ) ), alpha37( X, Y, Z, T, U ) }.
% 0.77/1.19 { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T, U ) ), alpha37( X, Y, Z, T
% 0.77/1.19 , U ) }.
% 0.77/1.19 { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.77/1.19 ) ) = X, alpha14( Y, Z ) }.
% 0.77/1.19 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha43( X, Y, Z, T, U,
% 0.77/1.19 W ) }.
% 0.77/1.19 { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W ) }.
% 0.77/1.19 { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.77/1.19 { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.77/1.19 { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.77/1.19 { ! ssList( X ), ! totalorderedP( X ), ! ssItem( Y ), alpha6( X, Y ) }.
% 0.77/1.19 { ! ssList( X ), ssItem( skol24( Y ) ), totalorderedP( X ) }.
% 0.77/1.19 { ! ssList( X ), ! alpha6( X, skol24( X ) ), totalorderedP( X ) }.
% 0.77/1.19 { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y, Z ) }.
% 0.77/1.19 { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.77/1.19 { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X, Y ) }.
% 0.77/1.19 { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24( X, Y, Z, T ) }.
% 0.77/1.19 { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z ) }.
% 0.77/1.19 { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ), alpha15( X, Y, Z ) }.
% 0.77/1.19 { ! alpha24( X, Y, Z, T ), ! ssList( U ), alpha31( X, Y, Z, T, U ) }.
% 0.77/1.19 { ssList( skol27( U, W, V0, V1 ) ), alpha24( X, Y, Z, T ) }.
% 0.77/1.19 { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) ), alpha24( X, Y, Z, T ) }.
% 0.77/1.19 { ! alpha31( X, Y, Z, T, U ), ! ssList( W ), alpha38( X, Y, Z, T, U, W ) }
% 0.77/1.19 .
% 0.77/1.19 { ssList( skol28( W, V0, V1, V2, V3 ) ), alpha31( X, Y, Z, T, U ) }.
% 0.77/1.19 { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T, U ) ), alpha31( X, Y, Z, T
% 0.77/1.19 , U ) }.
% 0.77/1.19 { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.77/1.19 ) ) = X, leq( Y, Z ) }.
% 0.77/1.19 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha38( X, Y, Z, T, U,
% 0.77/1.19 W ) }.
% 0.77/1.19 { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W ) }.
% 0.77/1.19 { ! ssList( X ), ! strictorderedP( X ), ! ssItem( Y ), alpha7( X, Y ) }.
% 0.77/1.19 { ! ssList( X ), ssItem( skol29( Y ) ), strictorderedP( X ) }.
% 0.77/1.19 { ! ssList( X ), ! alpha7( X, skol29( X ) ), strictorderedP( X ) }.
% 0.77/1.19 { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y, Z ) }.
% 0.77/1.19 { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.77/1.19 { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X, Y ) }.
% 0.77/1.19 { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25( X, Y, Z, T ) }.
% 0.77/1.19 { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z ) }.
% 0.77/1.19 { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ), alpha16( X, Y, Z ) }.
% 0.77/1.19 { ! alpha25( X, Y, Z, T ), ! ssList( U ), alpha32( X, Y, Z, T, U ) }.
% 0.77/1.19 { ssList( skol32( U, W, V0, V1 ) ), alpha25( X, Y, Z, T ) }.
% 0.77/1.19 { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) ), alpha25( X, Y, Z, T ) }.
% 0.77/1.19 { ! alpha32( X, Y, Z, T, U ), ! ssList( W ), alpha39( X, Y, Z, T, U, W ) }
% 0.77/1.19 .
% 0.77/1.19 { ssList( skol33( W, V0, V1, V2, V3 ) ), alpha32( X, Y, Z, T, U ) }.
% 0.77/1.19 { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T, U ) ), alpha32( X, Y, Z, T
% 0.77/1.19 , U ) }.
% 0.77/1.19 { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.77/1.19 ) ) = X, lt( Y, Z ) }.
% 0.77/1.19 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha39( X, Y, Z, T, U,
% 0.77/1.19 W ) }.
% 0.77/1.19 { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.77/1.19 { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem( Y ), alpha8( X, Y ) }.
% 0.77/1.19 { ! ssList( X ), ssItem( skol34( Y ) ), duplicatefreeP( X ) }.
% 0.77/1.19 { ! ssList( X ), ! alpha8( X, skol34( X ) ), duplicatefreeP( X ) }.
% 0.77/1.19 { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y, Z ) }.
% 0.77/1.19 { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.77/1.19 { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X, Y ) }.
% 0.77/1.19 { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26( X, Y, Z, T ) }.
% 0.77/1.19 { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z ) }.
% 0.77/1.19 { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ), alpha17( X, Y, Z ) }.
% 0.77/1.19 { ! alpha26( X, Y, Z, T ), ! ssList( U ), alpha33( X, Y, Z, T, U ) }.
% 0.77/1.19 { ssList( skol37( U, W, V0, V1 ) ), alpha26( X, Y, Z, T ) }.
% 0.77/1.19 { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) ), alpha26( X, Y, Z, T ) }.
% 0.77/1.19 { ! alpha33( X, Y, Z, T, U ), ! ssList( W ), alpha40( X, Y, Z, T, U, W ) }
% 0.77/1.19 .
% 0.77/1.19 { ssList( skol38( W, V0, V1, V2, V3 ) ), alpha33( X, Y, Z, T, U ) }.
% 0.77/1.19 { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T, U ) ), alpha33( X, Y, Z, T
% 0.77/1.19 , U ) }.
% 0.77/1.19 { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.77/1.19 ) ) = X, ! Y = Z }.
% 0.77/1.19 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha40( X, Y, Z, T, U,
% 0.77/1.19 W ) }.
% 0.77/1.19 { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.77/1.19 { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y ), alpha9( X, Y ) }.
% 0.77/1.19 { ! ssList( X ), ssItem( skol39( Y ) ), equalelemsP( X ) }.
% 0.77/1.19 { ! ssList( X ), ! alpha9( X, skol39( X ) ), equalelemsP( X ) }.
% 0.77/1.19 { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y, Z ) }.
% 0.77/1.19 { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.77/1.19 { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X, Y ) }.
% 0.77/1.19 { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27( X, Y, Z, T ) }.
% 0.77/1.19 { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z ) }.
% 0.77/1.19 { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ), alpha18( X, Y, Z ) }.
% 0.77/1.19 { ! alpha27( X, Y, Z, T ), ! ssList( U ), alpha34( X, Y, Z, T, U ) }.
% 0.77/1.19 { ssList( skol42( U, W, V0, V1 ) ), alpha27( X, Y, Z, T ) }.
% 0.77/1.19 { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) ), alpha27( X, Y, Z, T ) }.
% 0.77/1.19 { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y, cons( Z, U ) ) ) = X, Y =
% 0.77/1.19 Z }.
% 0.77/1.19 { app( T, cons( Y, cons( Z, U ) ) ) = X, alpha34( X, Y, Z, T, U ) }.
% 0.77/1.19 { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.77/1.19 { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ), ! X = Y }.
% 0.77/1.19 { ! ssList( X ), ! ssList( Y ), X = Y, neq( X, Y ) }.
% 0.77/1.19 { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y, X ) ) }.
% 0.77/1.19 { ssList( nil ) }.
% 0.77/1.19 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) = X }.
% 0.77/1.19 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.77/1.19 ) = cons( T, Y ), Z = T }.
% 0.77/1.19 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.77/1.19 ) = cons( T, Y ), Y = X }.
% 0.77/1.19 { ! ssList( X ), nil = X, ssList( skol43( Y ) ) }.
% 0.77/1.19 { ! ssList( X ), nil = X, ssItem( skol48( Y ) ) }.
% 0.77/1.19 { ! ssList( X ), nil = X, cons( skol48( X ), skol43( X ) ) = X }.
% 0.77/1.19 { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y, X ) }.
% 0.77/1.19 { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.77/1.19 { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X ) ) = Y }.
% 0.77/1.19 { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.77/1.19 { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X ) ) = X }.
% 0.77/1.19 { ! ssList( X ), ! ssList( Y ), ssList( app( X, Y ) ) }.
% 0.77/1.19 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), cons( Z, app( Y, X ) ) = app
% 0.77/1.19 ( cons( Z, Y ), X ) }.
% 0.77/1.19 { ! ssList( X ), app( nil, X ) = X }.
% 0.77/1.19 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), ! leq( Y, X ), X = Y }.
% 0.77/1.19 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! leq( Y, Z )
% 0.77/1.19 , leq( X, Z ) }.
% 0.77/1.19 { ! ssItem( X ), leq( X, X ) }.
% 0.77/1.19 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), leq( Y, X ) }.
% 0.77/1.19 { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ), geq( X, Y ) }.
% 0.77/1.19 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! lt( Y, X ) }.
% 0.77/1.19 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! lt( X, Y ), ! lt( Y, Z ),
% 0.77/1.19 lt( X, Z ) }.
% 0.77/1.19 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), lt( Y, X ) }.
% 0.77/1.19 { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ), gt( X, Y ) }.
% 0.77/1.19 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( app( Y, Z ), X )
% 0.77/1.19 , memberP( Y, X ), memberP( Z, X ) }.
% 0.77/1.19 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Y, X ), memberP(
% 0.77/1.19 app( Y, Z ), X ) }.
% 0.77/1.19 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.77/1.19 app( Y, Z ), X ) }.
% 0.77/1.19 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( cons( Y, Z ), X )
% 0.77/1.19 , X = Y, memberP( Z, X ) }.
% 0.77/1.19 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! X = Y, memberP( cons( Y, Z
% 0.77/1.19 ), X ) }.
% 0.77/1.19 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.77/1.19 cons( Y, Z ), X ) }.
% 0.77/1.19 { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.77/1.19 { ! singletonP( nil ) }.
% 0.77/1.19 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ), !
% 0.77/1.19 frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.77/1.19 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ! frontsegP( Y, X ), X
% 0.77/1.19 = Y }.
% 0.77/1.19 { ! ssList( X ), frontsegP( X, X ) }.
% 0.77/1.19 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ),
% 0.77/1.19 frontsegP( app( X, Z ), Y ) }.
% 0.77/1.19 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.77/1.19 cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.77/1.19 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.77/1.19 cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T ) }.
% 0.77/1.19 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! X = Y, !
% 0.77/1.19 frontsegP( Z, T ), frontsegP( cons( X, Z ), cons( Y, T ) ) }.
% 0.77/1.19 { ! ssList( X ), frontsegP( X, nil ) }.
% 0.77/1.19 { ! ssList( X ), ! frontsegP( nil, X ), nil = X }.
% 0.77/1.19 { ! ssList( X ), ! nil = X, frontsegP( nil, X ) }.
% 0.77/1.19 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), !
% 0.77/1.19 rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.77/1.19 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ! rearsegP( Y, X ), X =
% 0.77/1.19 Y }.
% 0.77/1.19 { ! ssList( X ), rearsegP( X, X ) }.
% 0.77/1.19 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), rearsegP
% 0.77/1.19 ( app( Z, X ), Y ) }.
% 0.77/1.19 { ! ssList( X ), rearsegP( X, nil ) }.
% 0.77/1.19 { ! ssList( X ), ! rearsegP( nil, X ), nil = X }.
% 0.77/1.19 { ! ssList( X ), ! nil = X, rearsegP( nil, X ) }.
% 0.77/1.19 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! segmentP( X, Y ), !
% 0.77/1.19 segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.77/1.19 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ! segmentP( Y, X ), X =
% 0.77/1.19 Y }.
% 0.77/1.19 { ! ssList( X ), segmentP( X, X ) }.
% 0.77/1.19 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! ssList( T ), ! segmentP( X
% 0.77/1.19 , Y ), segmentP( app( app( Z, X ), T ), Y ) }.
% 0.77/1.19 { ! ssList( X ), segmentP( X, nil ) }.
% 0.77/1.19 { ! ssList( X ), ! segmentP( nil, X ), nil = X }.
% 0.77/1.19 { ! ssList( X ), ! nil = X, segmentP( nil, X ) }.
% 0.77/1.19 { ! ssItem( X ), cyclefreeP( cons( X, nil ) ) }.
% 0.77/1.19 { cyclefreeP( nil ) }.
% 0.77/1.19 { ! ssItem( X ), totalorderP( cons( X, nil ) ) }.
% 0.77/1.19 { totalorderP( nil ) }.
% 0.77/1.19 { ! ssItem( X ), strictorderP( cons( X, nil ) ) }.
% 0.77/1.19 { strictorderP( nil ) }.
% 0.77/1.19 { ! ssItem( X ), totalorderedP( cons( X, nil ) ) }.
% 0.77/1.19 { totalorderedP( nil ) }.
% 0.77/1.19 { ! ssItem( X ), ! ssList( Y ), ! totalorderedP( cons( X, Y ) ), nil = Y,
% 0.77/1.19 alpha10( X, Y ) }.
% 0.77/1.19 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, totalorderedP( cons( X, Y ) ) }
% 0.77/1.19 .
% 0.77/1.19 { ! ssItem( X ), ! ssList( Y ), ! alpha10( X, Y ), totalorderedP( cons( X,
% 0.77/1.19 Y ) ) }.
% 0.77/1.19 { ! alpha10( X, Y ), ! nil = Y }.
% 0.77/1.19 { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.77/1.19 { nil = Y, ! alpha19( X, Y ), alpha10( X, Y ) }.
% 0.77/1.19 { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.77/1.19 { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.77/1.19 { ! totalorderedP( Y ), ! leq( X, hd( Y ) ), alpha19( X, Y ) }.
% 0.77/1.19 { ! ssItem( X ), strictorderedP( cons( X, nil ) ) }.
% 0.77/1.19 { strictorderedP( nil ) }.
% 0.77/1.19 { ! ssItem( X ), ! ssList( Y ), ! strictorderedP( cons( X, Y ) ), nil = Y,
% 0.77/1.19 alpha11( X, Y ) }.
% 0.77/1.19 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, strictorderedP( cons( X, Y ) ) }
% 0.77/1.19 .
% 0.77/1.19 { ! ssItem( X ), ! ssList( Y ), ! alpha11( X, Y ), strictorderedP( cons( X
% 0.77/1.19 , Y ) ) }.
% 0.77/1.19 { ! alpha11( X, Y ), ! nil = Y }.
% 0.77/1.19 { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.77/1.19 { nil = Y, ! alpha20( X, Y ), alpha11( X, Y ) }.
% 0.77/1.19 { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.77/1.19 { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.77/1.19 { ! strictorderedP( Y ), ! lt( X, hd( Y ) ), alpha20( X, Y ) }.
% 0.77/1.19 { ! ssItem( X ), duplicatefreeP( cons( X, nil ) ) }.
% 0.77/1.19 { duplicatefreeP( nil ) }.
% 0.77/1.19 { ! ssItem( X ), equalelemsP( cons( X, nil ) ) }.
% 0.77/1.19 { equalelemsP( nil ) }.
% 0.77/1.19 { ! ssList( X ), nil = X, ssItem( skol44( Y ) ) }.
% 0.77/1.19 { ! ssList( X ), nil = X, hd( X ) = skol44( X ) }.
% 0.77/1.19 { ! ssList( X ), nil = X, ssList( skol45( Y ) ) }.
% 0.77/1.19 { ! ssList( X ), nil = X, tl( X ) = skol45( X ) }.
% 0.77/1.19 { ! ssList( X ), ! ssList( Y ), nil = Y, nil = X, ! hd( Y ) = hd( X ), ! tl
% 0.77/1.19 ( Y ) = tl( X ), Y = X }.
% 0.77/1.19 { ! ssList( X ), nil = X, cons( hd( X ), tl( X ) ) = X }.
% 0.77/1.19 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = app( X, Y )
% 0.77/1.19 , Z = X }.
% 0.77/1.19 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = app( Y, X )
% 0.77/1.19 , Z = X }.
% 0.77/1.19 { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) = app( cons( Y, nil ), X ) }.
% 0.77/1.19 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), app( app( X, Y ), Z ) = app
% 0.77/1.19 ( X, app( Y, Z ) ) }.
% 0.77/1.19 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = Y }.
% 0.77/1.19 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = X }.
% 0.77/1.19 { ! ssList( X ), ! ssList( Y ), ! nil = Y, ! nil = X, nil = app( X, Y ) }.
% 0.77/1.19 { ! ssList( X ), app( X, nil ) = X }.
% 0.77/1.19 { ! ssList( X ), ! ssList( Y ), nil = X, hd( app( X, Y ) ) = hd( X ) }.
% 0.77/1.19 { ! ssList( X ), ! ssList( Y ), nil = X, tl( app( X, Y ) ) = app( tl( X ),
% 0.77/1.19 Y ) }.
% 0.77/1.19 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), ! geq( Y, X ), X = Y }.
% 0.77/1.19 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! geq( X, Y ), ! geq( Y, Z )
% 0.77/1.19 , geq( X, Z ) }.
% 0.77/1.19 { ! ssItem( X ), geq( X, X ) }.
% 0.77/1.19 { ! ssItem( X ), ! lt( X, X ) }.
% 0.77/1.19 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! lt( Y, Z )
% 0.77/1.19 , lt( X, Z ) }.
% 0.77/1.19 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), X = Y, lt( X, Y ) }.
% 0.77/1.19 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! X = Y }.
% 0.77/1.19 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), leq( X, Y ) }.
% 0.77/1.19 { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq( X, Y ), lt( X, Y ) }.
% 0.77/1.19 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), ! gt( Y, X ) }.
% 0.77/1.19 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! gt( X, Y ), ! gt( Y, Z ),
% 0.77/1.19 gt( X, Z ) }.
% 0.77/1.19 { ssList( skol46 ) }.
% 0.77/1.19 { ssList( skol49 ) }.
% 0.77/1.19 { ssList( skol50 ) }.
% 0.77/1.19 { ssList( skol51 ) }.
% 0.77/1.19 { skol49 = skol51 }.
% 0.77/1.19 { skol46 = skol50 }.
% 0.77/1.19 { ! ssList( X ), ! neq( X, nil ), ! segmentP( skol49, X ), ! segmentP(
% 0.77/1.19 skol46, X ) }.
% 0.77/1.19 { ssList( skol52 ) }.
% 0.77/1.19 { ssList( skol53 ) }.
% 0.77/1.19 { app( app( skol52, skol50 ), skol53 ) = skol51 }.
% 0.77/1.19 { equalelemsP( skol50 ) }.
% 0.77/1.19 { ! ssItem( X ), ! ssList( Y ), ! app( Y, cons( X, nil ) ) = skol52, !
% 0.77/1.19 ssList( Z ), ! app( cons( X, nil ), Z ) = skol50 }.
% 0.77/1.19 { ! ssItem( X ), ! ssList( Y ), ! app( cons( X, nil ), Y ) = skol53, !
% 0.77/1.19 ssList( Z ), ! app( Z, cons( X, nil ) ) = skol50 }.
% 0.77/1.19 { nil = skol51, ! nil = skol50 }.
% 0.77/1.19 { ! nil = skol49, ! nil = skol46 }.
% 0.77/1.19
% 0.77/1.19 *** allocated 15000 integers for clauses
% 0.77/1.19 percentage equality = 0.135356, percentage horn = 0.765517
% 0.77/1.19 This is a problem with some equality
% 0.77/1.19
% 0.77/1.19
% 0.77/1.19
% 0.77/1.19 Options Used:
% 0.77/1.19
% 0.77/1.19 useres = 1
% 0.77/1.19 useparamod = 1
% 0.77/1.19 useeqrefl = 1
% 0.77/1.19 useeqfact = 1
% 0.77/1.19 usefactor = 1
% 0.77/1.19 usesimpsplitting = 0
% 0.77/1.19 usesimpdemod = 5
% 0.77/1.19 usesimpres = 3
% 0.77/1.19
% 0.77/1.19 resimpinuse = 1000
% 0.77/1.19 resimpclauses = 20000
% 0.77/1.19 substype = eqrewr
% 0.77/1.19 backwardsubs = 1
% 0.77/1.19 selectoldest = 5
% 0.77/1.19
% 0.77/1.19 litorderings [0] = split
% 0.77/1.19 litorderings [1] = extend the termordering, first sorting on arguments
% 0.77/1.19
% 0.77/1.19 termordering = kbo
% 0.77/1.19
% 0.77/1.19 litapriori = 0
% 0.77/1.19 termapriori = 1
% 0.77/1.19 litaposteriori = 0
% 0.77/1.19 termaposteriori = 0
% 0.77/1.19 demodaposteriori = 0
% 0.77/1.19 ordereqreflfact = 0
% 0.77/1.19
% 0.77/1.19 litselect = negord
% 0.77/1.19
% 0.77/1.19 maxweight = 15
% 0.77/1.19 maxdepth = 30000
% 0.77/1.19 maxlength = 115
% 0.77/1.19 maxnrvars = 195
% 0.77/1.19 excuselevel = 1
% 0.77/1.19 increasemaxweight = 1
% 0.77/1.19
% 0.77/1.19 maxselected = 10000000
% 0.77/1.19 maxnrclauses = 10000000
% 0.77/1.19
% 0.77/1.19 showgenerated = 0
% 0.77/1.19 showkept = 0
% 0.77/1.19 showselected = 0
% 0.77/1.19 showdeleted = 0
% 0.77/1.19 showresimp = 1
% 0.77/1.19 showstatus = 2000
% 0.77/1.19
% 0.77/1.19 prologoutput = 0
% 0.77/1.19 nrgoals = 5000000
% 0.77/1.19 totalproof = 1
% 0.77/1.19
% 0.77/1.19 Symbols occurring in the translation:
% 0.77/1.19
% 0.77/1.19 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.77/1.19 . [1, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.77/1.19 ! [4, 1] (w:0, o:28, a:1, s:1, b:0),
% 0.77/1.19 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.77/1.19 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.77/1.19 ssItem [36, 1] (w:1, o:33, a:1, s:1, b:0),
% 0.77/1.19 neq [38, 2] (w:1, o:84, a:1, s:1, b:0),
% 0.77/1.19 ssList [39, 1] (w:1, o:34, a:1, s:1, b:0),
% 0.77/1.19 memberP [40, 2] (w:1, o:83, a:1, s:1, b:0),
% 1.27/1.67 cons [43, 2] (w:1, o:85, a:1, s:1, b:0),
% 1.27/1.67 app [44, 2] (w:1, o:86, a:1, s:1, b:0),
% 1.27/1.67 singletonP [45, 1] (w:1, o:35, a:1, s:1, b:0),
% 1.27/1.67 nil [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 1.27/1.67 frontsegP [47, 2] (w:1, o:87, a:1, s:1, b:0),
% 1.27/1.67 rearsegP [48, 2] (w:1, o:88, a:1, s:1, b:0),
% 1.27/1.67 segmentP [49, 2] (w:1, o:89, a:1, s:1, b:0),
% 1.27/1.67 cyclefreeP [50, 1] (w:1, o:36, a:1, s:1, b:0),
% 1.27/1.67 leq [53, 2] (w:1, o:81, a:1, s:1, b:0),
% 1.27/1.67 totalorderP [54, 1] (w:1, o:51, a:1, s:1, b:0),
% 1.27/1.67 strictorderP [55, 1] (w:1, o:37, a:1, s:1, b:0),
% 1.27/1.67 lt [56, 2] (w:1, o:82, a:1, s:1, b:0),
% 1.27/1.67 totalorderedP [57, 1] (w:1, o:52, a:1, s:1, b:0),
% 1.27/1.67 strictorderedP [58, 1] (w:1, o:38, a:1, s:1, b:0),
% 1.27/1.67 duplicatefreeP [59, 1] (w:1, o:53, a:1, s:1, b:0),
% 1.27/1.67 equalelemsP [60, 1] (w:1, o:54, a:1, s:1, b:0),
% 1.27/1.67 hd [61, 1] (w:1, o:55, a:1, s:1, b:0),
% 1.27/1.67 tl [62, 1] (w:1, o:56, a:1, s:1, b:0),
% 1.27/1.67 geq [63, 2] (w:1, o:90, a:1, s:1, b:0),
% 1.27/1.67 gt [64, 2] (w:1, o:91, a:1, s:1, b:0),
% 1.27/1.67 alpha1 [72, 3] (w:1, o:117, a:1, s:1, b:1),
% 1.27/1.67 alpha2 [73, 3] (w:1, o:122, a:1, s:1, b:1),
% 1.27/1.67 alpha3 [74, 2] (w:1, o:93, a:1, s:1, b:1),
% 1.27/1.67 alpha4 [75, 2] (w:1, o:94, a:1, s:1, b:1),
% 1.27/1.67 alpha5 [76, 2] (w:1, o:95, a:1, s:1, b:1),
% 1.27/1.67 alpha6 [77, 2] (w:1, o:96, a:1, s:1, b:1),
% 1.27/1.67 alpha7 [78, 2] (w:1, o:97, a:1, s:1, b:1),
% 1.27/1.67 alpha8 [79, 2] (w:1, o:98, a:1, s:1, b:1),
% 1.27/1.67 alpha9 [80, 2] (w:1, o:99, a:1, s:1, b:1),
% 1.27/1.67 alpha10 [81, 2] (w:1, o:100, a:1, s:1, b:1),
% 1.27/1.67 alpha11 [82, 2] (w:1, o:101, a:1, s:1, b:1),
% 1.27/1.67 alpha12 [83, 2] (w:1, o:102, a:1, s:1, b:1),
% 1.27/1.67 alpha13 [84, 2] (w:1, o:103, a:1, s:1, b:1),
% 1.27/1.67 alpha14 [85, 2] (w:1, o:104, a:1, s:1, b:1),
% 1.27/1.67 alpha15 [86, 3] (w:1, o:118, a:1, s:1, b:1),
% 1.27/1.67 alpha16 [87, 3] (w:1, o:119, a:1, s:1, b:1),
% 1.27/1.67 alpha17 [88, 3] (w:1, o:120, a:1, s:1, b:1),
% 1.27/1.67 alpha18 [89, 3] (w:1, o:121, a:1, s:1, b:1),
% 1.27/1.67 alpha19 [90, 2] (w:1, o:105, a:1, s:1, b:1),
% 1.27/1.67 alpha20 [91, 2] (w:1, o:92, a:1, s:1, b:1),
% 1.27/1.67 alpha21 [92, 3] (w:1, o:123, a:1, s:1, b:1),
% 1.27/1.67 alpha22 [93, 3] (w:1, o:124, a:1, s:1, b:1),
% 1.27/1.67 alpha23 [94, 3] (w:1, o:125, a:1, s:1, b:1),
% 1.27/1.67 alpha24 [95, 4] (w:1, o:135, a:1, s:1, b:1),
% 1.27/1.67 alpha25 [96, 4] (w:1, o:136, a:1, s:1, b:1),
% 1.27/1.67 alpha26 [97, 4] (w:1, o:137, a:1, s:1, b:1),
% 1.27/1.67 alpha27 [98, 4] (w:1, o:138, a:1, s:1, b:1),
% 1.27/1.67 alpha28 [99, 4] (w:1, o:139, a:1, s:1, b:1),
% 1.27/1.67 alpha29 [100, 4] (w:1, o:140, a:1, s:1, b:1),
% 1.27/1.67 alpha30 [101, 4] (w:1, o:141, a:1, s:1, b:1),
% 1.27/1.67 alpha31 [102, 5] (w:1, o:149, a:1, s:1, b:1),
% 1.27/1.67 alpha32 [103, 5] (w:1, o:150, a:1, s:1, b:1),
% 1.27/1.67 alpha33 [104, 5] (w:1, o:151, a:1, s:1, b:1),
% 1.27/1.67 alpha34 [105, 5] (w:1, o:152, a:1, s:1, b:1),
% 1.27/1.67 alpha35 [106, 5] (w:1, o:153, a:1, s:1, b:1),
% 1.27/1.67 alpha36 [107, 5] (w:1, o:154, a:1, s:1, b:1),
% 1.27/1.67 alpha37 [108, 5] (w:1, o:155, a:1, s:1, b:1),
% 1.27/1.67 alpha38 [109, 6] (w:1, o:162, a:1, s:1, b:1),
% 1.27/1.67 alpha39 [110, 6] (w:1, o:163, a:1, s:1, b:1),
% 1.27/1.67 alpha40 [111, 6] (w:1, o:164, a:1, s:1, b:1),
% 1.27/1.67 alpha41 [112, 6] (w:1, o:165, a:1, s:1, b:1),
% 1.27/1.67 alpha42 [113, 6] (w:1, o:166, a:1, s:1, b:1),
% 1.27/1.67 alpha43 [114, 6] (w:1, o:167, a:1, s:1, b:1),
% 1.27/1.67 skol1 [115, 0] (w:1, o:20, a:1, s:1, b:1),
% 1.27/1.67 skol2 [116, 2] (w:1, o:108, a:1, s:1, b:1),
% 1.27/1.67 skol3 [117, 3] (w:1, o:128, a:1, s:1, b:1),
% 1.27/1.67 skol4 [118, 1] (w:1, o:41, a:1, s:1, b:1),
% 1.27/1.67 skol5 [119, 2] (w:1, o:110, a:1, s:1, b:1),
% 1.27/1.67 skol6 [120, 2] (w:1, o:111, a:1, s:1, b:1),
% 1.27/1.67 skol7 [121, 2] (w:1, o:112, a:1, s:1, b:1),
% 1.27/1.67 skol8 [122, 3] (w:1, o:129, a:1, s:1, b:1),
% 1.27/1.67 skol9 [123, 1] (w:1, o:42, a:1, s:1, b:1),
% 1.27/1.67 skol10 [124, 2] (w:1, o:106, a:1, s:1, b:1),
% 1.27/1.67 skol11 [125, 3] (w:1, o:130, a:1, s:1, b:1),
% 1.27/1.67 skol12 [126, 4] (w:1, o:142, a:1, s:1, b:1),
% 1.27/1.67 skol13 [127, 5] (w:1, o:156, a:1, s:1, b:1),
% 1.27/1.67 skol14 [128, 1] (w:1, o:43, a:1, s:1, b:1),
% 1.27/1.67 skol15 [129, 2] (w:1, o:107, a:1, s:1, b:1),
% 1.27/1.67 skol16 [130, 3] (w:1, o:131, a:1, s:1, b:1),
% 3.11/3.51 skol17 [131, 4] (w:1, o:143, a:1, s:1, b:1),
% 3.11/3.51 skol18 [132, 5] (w:1, o:157, a:1, s:1, b:1),
% 3.11/3.51 skol19 [133, 1] (w:1, o:44, a:1, s:1, b:1),
% 3.11/3.51 skol20 [134, 2] (w:1, o:113, a:1, s:1, b:1),
% 3.11/3.51 skol21 [135, 3] (w:1, o:126, a:1, s:1, b:1),
% 3.11/3.51 skol22 [136, 4] (w:1, o:144, a:1, s:1, b:1),
% 3.11/3.51 skol23 [137, 5] (w:1, o:158, a:1, s:1, b:1),
% 3.11/3.51 skol24 [138, 1] (w:1, o:45, a:1, s:1, b:1),
% 3.11/3.51 skol25 [139, 2] (w:1, o:114, a:1, s:1, b:1),
% 3.11/3.51 skol26 [140, 3] (w:1, o:127, a:1, s:1, b:1),
% 3.11/3.51 skol27 [141, 4] (w:1, o:145, a:1, s:1, b:1),
% 3.11/3.51 skol28 [142, 5] (w:1, o:159, a:1, s:1, b:1),
% 3.11/3.51 skol29 [143, 1] (w:1, o:46, a:1, s:1, b:1),
% 3.11/3.51 skol30 [144, 2] (w:1, o:115, a:1, s:1, b:1),
% 3.11/3.51 skol31 [145, 3] (w:1, o:132, a:1, s:1, b:1),
% 3.11/3.51 skol32 [146, 4] (w:1, o:146, a:1, s:1, b:1),
% 3.11/3.51 skol33 [147, 5] (w:1, o:160, a:1, s:1, b:1),
% 3.11/3.51 skol34 [148, 1] (w:1, o:39, a:1, s:1, b:1),
% 3.11/3.51 skol35 [149, 2] (w:1, o:116, a:1, s:1, b:1),
% 3.11/3.51 skol36 [150, 3] (w:1, o:133, a:1, s:1, b:1),
% 3.11/3.51 skol37 [151, 4] (w:1, o:147, a:1, s:1, b:1),
% 3.11/3.51 skol38 [152, 5] (w:1, o:161, a:1, s:1, b:1),
% 3.11/3.51 skol39 [153, 1] (w:1, o:40, a:1, s:1, b:1),
% 3.11/3.51 skol40 [154, 2] (w:1, o:109, a:1, s:1, b:1),
% 3.11/3.51 skol41 [155, 3] (w:1, o:134, a:1, s:1, b:1),
% 3.11/3.51 skol42 [156, 4] (w:1, o:148, a:1, s:1, b:1),
% 3.11/3.51 skol43 [157, 1] (w:1, o:47, a:1, s:1, b:1),
% 3.11/3.51 skol44 [158, 1] (w:1, o:48, a:1, s:1, b:1),
% 3.11/3.51 skol45 [159, 1] (w:1, o:49, a:1, s:1, b:1),
% 3.11/3.51 skol46 [160, 0] (w:1, o:21, a:1, s:1, b:1),
% 3.11/3.51 skol47 [161, 0] (w:1, o:22, a:1, s:1, b:1),
% 3.11/3.51 skol48 [162, 1] (w:1, o:50, a:1, s:1, b:1),
% 3.11/3.51 skol49 [163, 0] (w:1, o:23, a:1, s:1, b:1),
% 3.11/3.51 skol50 [164, 0] (w:1, o:24, a:1, s:1, b:1),
% 3.11/3.51 skol51 [165, 0] (w:1, o:25, a:1, s:1, b:1),
% 3.11/3.51 skol52 [166, 0] (w:1, o:26, a:1, s:1, b:1),
% 3.11/3.51 skol53 [167, 0] (w:1, o:27, a:1, s:1, b:1).
% 3.11/3.51
% 3.11/3.51
% 3.11/3.51 Starting Search:
% 3.11/3.51
% 3.11/3.51 *** allocated 22500 integers for clauses
% 3.11/3.51 *** allocated 33750 integers for clauses
% 3.11/3.51 *** allocated 50625 integers for clauses
% 3.11/3.51 *** allocated 22500 integers for termspace/termends
% 3.11/3.51 *** allocated 75937 integers for clauses
% 3.11/3.51 Resimplifying inuse:
% 3.11/3.51 Done
% 3.11/3.51
% 3.11/3.51 *** allocated 33750 integers for termspace/termends
% 3.11/3.51 *** allocated 113905 integers for clauses
% 3.11/3.51 *** allocated 50625 integers for termspace/termends
% 3.11/3.51
% 3.11/3.51 Intermediate Status:
% 3.11/3.51 Generated: 3663
% 3.11/3.51 Kept: 2012
% 3.11/3.51 Inuse: 217
% 3.11/3.51 Deleted: 6
% 3.11/3.51 Deletedinuse: 0
% 3.11/3.51
% 3.11/3.51 Resimplifying inuse:
% 3.11/3.51 Done
% 3.11/3.51
% 3.11/3.51 *** allocated 170857 integers for clauses
% 3.11/3.51 Resimplifying inuse:
% 3.11/3.51 Done
% 3.11/3.51
% 3.11/3.51 *** allocated 75937 integers for termspace/termends
% 3.11/3.51 *** allocated 256285 integers for clauses
% 3.11/3.51
% 3.11/3.51 Intermediate Status:
% 3.11/3.51 Generated: 6970
% 3.11/3.51 Kept: 4014
% 3.11/3.51 Inuse: 339
% 3.11/3.51 Deleted: 10
% 3.11/3.51 Deletedinuse: 4
% 3.11/3.51
% 3.11/3.51 Resimplifying inuse:
% 3.11/3.51 Done
% 3.11/3.51
% 3.11/3.51 *** allocated 113905 integers for termspace/termends
% 3.11/3.51 Resimplifying inuse:
% 3.11/3.51 Done
% 3.11/3.51
% 3.11/3.51 *** allocated 384427 integers for clauses
% 3.11/3.51
% 3.11/3.51 Intermediate Status:
% 3.11/3.51 Generated: 10281
% 3.11/3.51 Kept: 6014
% 3.11/3.51 Inuse: 469
% 3.11/3.51 Deleted: 12
% 3.11/3.51 Deletedinuse: 6
% 3.11/3.51
% 3.11/3.51 Resimplifying inuse:
% 3.11/3.51 Done
% 3.11/3.51
% 3.11/3.51 Resimplifying inuse:
% 3.11/3.51 Done
% 3.11/3.51
% 3.11/3.51 *** allocated 170857 integers for termspace/termends
% 3.11/3.51
% 3.11/3.51 Intermediate Status:
% 3.11/3.51 Generated: 13669
% 3.11/3.51 Kept: 8028
% 3.11/3.51 Inuse: 575
% 3.11/3.51 Deleted: 13
% 3.11/3.51 Deletedinuse: 7
% 3.11/3.51
% 3.11/3.51 *** allocated 576640 integers for clauses
% 3.11/3.51 Resimplifying inuse:
% 3.11/3.51 Done
% 3.11/3.51
% 3.11/3.51 Resimplifying inuse:
% 3.11/3.51 Done
% 3.11/3.51
% 3.11/3.51
% 3.11/3.51 Intermediate Status:
% 3.11/3.51 Generated: 18021
% 3.11/3.51 Kept: 10192
% 3.11/3.51 Inuse: 670
% 3.11/3.51 Deleted: 14
% 3.11/3.51 Deletedinuse: 8
% 3.11/3.51
% 3.11/3.51 *** allocated 256285 integers for termspace/termends
% 3.11/3.51 Resimplifying inuse:
% 3.11/3.51 Done
% 3.11/3.51
% 3.11/3.51
% 3.11/3.51 Intermediate Status:
% 3.11/3.51 Generated: 20389
% 3.11/3.51 Kept: 12202
% 3.11/3.51 Inuse: 688
% 3.11/3.51 Deleted: 14
% 3.11/3.51 Deletedinuse: 8
% 3.11/3.51
% 3.11/3.51 *** allocated 864960 integers for clauses
% 3.11/3.51 Resimplifying inuse:
% 3.11/3.51 Done
% 3.11/3.51
% 3.11/3.51 Resimplifying inuse:
% 3.11/3.51 Done
% 3.11/3.51
% 3.11/3.51
% 3.11/3.51 Intermediate Status:
% 3.11/3.51 Generated: 25500
% 3.11/3.51 Kept: 14207
% 3.11/3.51 Inuse: 758
% 3.11/3.51 Deleted: 20
% 3.11/3.51 Deletedinuse: 14
% 3.11/3.51
% 3.11/3.51 Resimplifying inuse:
% 3.11/3.51 Done
% 3.11/3.51
% 3.11/3.51 Resimplifying inuse:
% 3.11/3.51 Done
% 3.11/3.51
% 3.11/3.51
% 3.11/3.51 Intermediate Status:
% 3.11/3.51 Generated: 34505
% 3.11/3.51 Kept: 16208
% 3.11/3.51 Inuse: 782
% 3.11/3.51 Deleted: 55
% 3.11/3.51 Deletedinuse: 49
% 3.11/3.51
% 3.11/3.51 *** allocated 384427 integers for termspace/termends
% 3.11/3.51 Resimplifying inuse:
% 3.11/3.51 Done
% 3.11/3.51
% 3.11/3.51
% 3.11/3.51 Intermediate Status:
% 3.11/3.51 Generated: 39776
% 3.11/3.51 Kept: 18309
% 3.11/3.51 Inuse: 823
% 3.11/3.51 Deleted: 59
% 3.11/3.51 Deletedinuse: 51
% 3.11/3.51
% 3.11/3.51 Resimplifying inuse:
% 3.11/3.51 Done
% 3.11/3.51
% 3.11/3.51 *** allocated 1297440 integers for clauses
% 3.11/3.51 Resimplifying inuse:
% 3.11/3.51 Done
% 3.11/3.51
% 3.11/3.51 Resimplifying clauses:
% 3.11/3.51 Done
% 3.11/3.51
% 3.11/3.51
% 3.11/3.51 Intermediate Status:
% 3.11/3.51 Generated: 49909
% 3.11/3.51 Kept: 20659
% 3.11/3.51 Inuse: 890
% 3.11/3.51 Deleted: 2401
% 3.11/3.51 Deletedinuse: 55
% 3.11/3.51
% 3.11/3.51 Resimplifying inuse:
% 3.11/3.51 Done
% 3.11/3.51
% 3.11/3.51 Resimplifying inuse:
% 3.11/3.51 Done
% 3.11/3.51
% 3.11/3.51 *** allocated 576640 integers for termspace/termends
% 3.11/3.51
% 3.11/3.51 Intermediate Status:
% 3.11/3.51 Generated: 60551
% 3.11/3.51 Kept: 22659
% 3.11/3.51 Inuse: 927
% 3.11/3.51 Deleted: 2403
% 3.11/3.51 Deletedinuse: 56
% 3.11/3.51
% 3.11/3.51 Resimplifying inuse:
% 3.11/3.51 Done
% 3.11/3.51
% 3.11/3.51 Resimplifying inuse:
% 3.11/3.51 Done
% 3.11/3.51
% 3.11/3.51
% 3.11/3.51 Intermediate Status:
% 3.11/3.51 Generated: 70444
% 3.11/3.51 Kept: 24667
% 3.11/3.51 Inuse: 958
% 3.11/3.51 Deleted: 2408
% 3.11/3.51 Deletedinuse: 60
% 3.11/3.51
% 3.11/3.51 Resimplifying inuse:
% 3.11/3.51 Done
% 3.11/3.51
% 3.11/3.51 Resimplifying inuse:
% 3.11/3.51 Done
% 3.11/3.51
% 3.11/3.51
% 3.11/3.51 Intermediate Status:
% 3.11/3.51 Generated: 81432
% 3.11/3.51 Kept: 26737
% 3.11/3.51 Inuse: 992
% 3.11/3.51 Deleted: 2409
% 3.11/3.51 Deletedinuse: 60
% 3.11/3.51
% 3.11/3.51 Resimplifying inuse:
% 3.11/3.51 Done
% 3.11/3.51
% 3.11/3.51
% 3.11/3.51 Intermediate Status:
% 3.11/3.51 Generated: 88351
% 3.11/3.51 Kept: 28795
% 3.11/3.51 Inuse: 1037
% 3.11/3.51 Deleted: 2409
% 3.11/3.51 Deletedinuse: 60
% 3.11/3.51
% 3.11/3.51 Resimplifying inuse:
% 3.11/3.51 Done
% 3.11/3.51
% 3.11/3.51 *** allocated 1946160 integers for clauses
% 3.11/3.51 Resimplifying inuse:
% 3.11/3.51 Done
% 3.11/3.51
% 3.11/3.51
% 3.11/3.51 Intermediate Status:
% 3.11/3.51 Generated: 95855
% 3.11/3.51 Kept: 30822
% 3.11/3.51 Inuse: 1062
% 3.11/3.51 Deleted: 2410
% 3.11/3.51 Deletedinuse: 61
% 3.11/3.51
% 3.11/3.51 Resimplifying inuse:
% 3.11/3.51 Done
% 3.11/3.51
% 3.11/3.51 Resimplifying inuse:
% 3.11/3.51 Done
% 3.11/3.51
% 3.11/3.51 *** allocated 864960 integers for termspace/termends
% 3.11/3.51
% 3.11/3.51 Intermediate Status:
% 3.11/3.51 Generated: 108227
% 3.11/3.51 Kept: 33342
% 3.11/3.51 Inuse: 1087
% 3.11/3.51 Deleted: 2411
% 3.11/3.51 Deletedinuse: 62
% 3.11/3.51
% 3.11/3.51 Resimplifying inuse:
% 3.11/3.51 Done
% 3.11/3.51
% 3.11/3.51 Resimplifying inuse:
% 3.11/3.51 Done
% 3.11/3.51
% 3.11/3.51
% 3.11/3.51 Intermediate Status:
% 3.11/3.51 Generated: 123714
% 3.11/3.51 Kept: 36264
% 3.11/3.51 Inuse: 1124
% 3.11/3.51 Deleted: 2419
% 3.11/3.51 Deletedinuse: 67
% 3.11/3.51
% 3.11/3.51 Resimplifying inuse:
% 3.11/3.51 Done
% 3.11/3.51
% 3.11/3.51 Resimplifying inuse:
% 3.11/3.51 Done
% 3.11/3.51
% 3.11/3.51
% 3.11/3.51 Intermediate Status:
% 3.11/3.51 Generated: 131266
% 3.11/3.51 Kept: 38266
% 3.11/3.51 Inuse: 1177
% 3.11/3.51 Deleted: 2426
% 3.11/3.51 Deletedinuse: 67
% 3.11/3.51
% 3.11/3.51 Resimplifying inuse:
% 3.11/3.51 Done
% 3.11/3.51
% 3.11/3.51 Resimplifying inuse:
% 3.11/3.51 Done
% 3.11/3.51
% 3.11/3.51 Resimplifying clauses:
% 3.11/3.51
% 3.11/3.51 Bliksems!, er is een bewijs:
% 3.11/3.51 % SZS status Theorem
% 3.11/3.51 % SZS output start Refutation
% 3.11/3.51
% 3.11/3.51 (22) {G0,W13,D2,L5,V3,M5} I { ! ssList( X ), ! ssList( Y ), ! ssList( Z ),
% 3.11/3.51 ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 3.11/3.51 (25) {G0,W13,D4,L3,V4,M3} I { ! ssList( T ), ! app( app( Z, Y ), T ) = X,
% 3.11/3.51 alpha2( X, Y, Z ) }.
% 3.11/3.51 (159) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 3.11/3.51 , Y ) }.
% 3.11/3.51 (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 3.11/3.51 (212) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), segmentP( X, X ) }.
% 3.11/3.51 (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 3.11/3.51 (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 3.11/3.51 (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 3.11/3.51 (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 3.11/3.51 (281) {G0,W11,D2,L4,V1,M4} I { ! ssList( X ), ! neq( X, nil ), ! segmentP(
% 3.11/3.51 skol49, X ), ! segmentP( skol46, X ) }.
% 3.11/3.51 (282) {G0,W2,D2,L1,V0,M1} I { ssList( skol52 ) }.
% 3.11/3.51 (283) {G0,W2,D2,L1,V0,M1} I { ssList( skol53 ) }.
% 3.11/3.51 (284) {G1,W7,D4,L1,V0,M1} I;d(280);d(279) { app( app( skol52, skol46 ),
% 3.11/3.51 skol53 ) ==> skol49 }.
% 3.11/3.51 (288) {G1,W6,D2,L2,V0,M2} I;d(279);d(280) { skol49 ==> nil, ! skol46 ==>
% 3.11/3.51 nil }.
% 3.11/3.51 (289) {G2,W3,D2,L1,V0,M1} I;d(288);q { ! skol46 ==> nil }.
% 3.11/3.51 (530) {G1,W3,D2,L1,V0,M1} R(212,275) { segmentP( skol46, skol46 ) }.
% 3.11/3.51 (14923) {G3,W8,D2,L3,V1,M3} P(159,289);r(275) { ! X = nil, ! ssList( X ),
% 3.11/3.51 neq( skol46, X ) }.
% 3.11/3.51 (14958) {G4,W3,D2,L1,V0,M1} Q(14923);r(161) { neq( skol46, nil ) }.
% 3.11/3.51 (37266) {G5,W6,D2,L2,V0,M2} R(281,14958);r(275) { ! segmentP( skol49,
% 3.11/3.51 skol46 ), ! segmentP( skol46, skol46 ) }.
% 3.11/3.51 (37435) {G6,W3,D2,L1,V0,M1} S(37266);r(530) { ! segmentP( skol49, skol46 )
% 3.11/3.51 }.
% 3.11/3.51 (37567) {G2,W7,D2,L2,V1,M2} P(284,25);r(283) { ! skol49 = X, alpha2( X,
% 3.11/3.51 skol46, skol52 ) }.
% 3.11/3.51 (37581) {G3,W4,D2,L1,V0,M1} Q(37567) { alpha2( skol49, skol46, skol52 ) }.
% 3.11/3.51 (37586) {G4,W7,D2,L3,V0,M3} R(37581,22);r(276) { ! ssList( skol46 ), !
% 3.11/3.51 ssList( skol52 ), segmentP( skol49, skol46 ) }.
% 3.11/3.51 (40286) {G7,W0,D0,L0,V0,M0} S(37586);r(275);r(282);r(37435) { }.
% 3.11/3.51
% 3.11/3.51
% 3.11/3.51 % SZS output end Refutation
% 3.11/3.51 found a proof!
% 3.11/3.51
% 3.11/3.51
% 3.11/3.51 Unprocessed initial clauses:
% 3.11/3.51
% 3.11/3.51 (40288) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y )
% 3.11/3.51 , ! X = Y }.
% 3.11/3.51 (40289) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X
% 3.11/3.51 , Y ) }.
% 3.11/3.51 (40290) {G0,W2,D2,L1,V0,M1} { ssItem( skol1 ) }.
% 3.11/3.51 (40291) {G0,W2,D2,L1,V0,M1} { ssItem( skol47 ) }.
% 3.11/3.51 (40292) {G0,W3,D2,L1,V0,M1} { ! skol1 = skol47 }.
% 3.11/3.51 (40293) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 3.11/3.51 , Y ), ssList( skol2( Z, T ) ) }.
% 3.11/3.51 (40294) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 3.11/3.51 , Y ), alpha1( X, Y, skol2( X, Y ) ) }.
% 3.11/3.51 (40295) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssItem( Y ), ! ssList( Z )
% 3.11/3.51 , ! alpha1( X, Y, Z ), memberP( X, Y ) }.
% 3.11/3.51 (40296) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W
% 3.11/3.51 ) ) }.
% 3.11/3.51 (40297) {G0,W14,D5,L2,V3,M2} { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3
% 3.11/3.51 ( X, Y, Z ) ) ) = X }.
% 3.11/3.51 (40298) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X
% 3.11/3.51 , alpha1( X, Y, Z ) }.
% 3.11/3.51 (40299) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ), ssItem(
% 3.11/3.51 skol4( Y ) ) }.
% 3.11/3.51 (40300) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ), cons(
% 3.11/3.51 skol4( X ), nil ) = X }.
% 3.11/3.51 (40301) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! cons( Y,
% 3.11/3.51 nil ) = X, singletonP( X ) }.
% 3.11/3.51 (40302) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 3.11/3.51 X, Y ), ssList( skol5( Z, T ) ) }.
% 3.11/3.51 (40303) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 3.11/3.51 X, Y ), app( Y, skol5( X, Y ) ) = X }.
% 3.11/3.51 (40304) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.11/3.51 , ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 3.11/3.51 (40305) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 3.11/3.51 , Y ), ssList( skol6( Z, T ) ) }.
% 3.11/3.51 (40306) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 3.11/3.51 , Y ), app( skol6( X, Y ), Y ) = X }.
% 3.11/3.51 (40307) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.11/3.51 , ! app( Z, Y ) = X, rearsegP( X, Y ) }.
% 3.11/3.51 (40308) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 3.11/3.51 , Y ), ssList( skol7( Z, T ) ) }.
% 3.11/3.51 (40309) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 3.11/3.51 , Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 3.11/3.51 (40310) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.11/3.51 , ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 3.11/3.51 (40311) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W
% 3.11/3.51 ) ) }.
% 3.11/3.51 (40312) {G0,W14,D4,L2,V3,M2} { ! alpha2( X, Y, Z ), app( app( Z, Y ),
% 3.11/3.51 skol8( X, Y, Z ) ) = X }.
% 3.11/3.51 (40313) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y ), T ) = X
% 3.11/3.51 , alpha2( X, Y, Z ) }.
% 3.11/3.51 (40314) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! cyclefreeP( X ), ! ssItem(
% 3.11/3.51 Y ), alpha3( X, Y ) }.
% 3.11/3.51 (40315) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol9( Y ) ),
% 3.11/3.51 cyclefreeP( X ) }.
% 3.11/3.51 (40316) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha3( X, skol9( X ) ),
% 3.11/3.51 cyclefreeP( X ) }.
% 3.11/3.51 (40317) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X
% 3.11/3.51 , Y, Z ) }.
% 3.11/3.51 (40318) {G0,W7,D3,L2,V4,M2} { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 3.11/3.51 (40319) {G0,W9,D3,L2,V2,M2} { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X
% 3.11/3.51 , Y ) }.
% 3.11/3.51 (40320) {G0,W11,D2,L3,V4,M3} { ! alpha21( X, Y, Z ), ! ssList( T ),
% 3.11/3.51 alpha28( X, Y, Z, T ) }.
% 3.11/3.51 (40321) {G0,W9,D3,L2,V6,M2} { ssList( skol11( T, U, W ) ), alpha21( X, Y,
% 3.11/3.51 Z ) }.
% 3.11/3.51 (40322) {G0,W12,D3,L2,V3,M2} { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ),
% 3.11/3.51 alpha21( X, Y, Z ) }.
% 3.11/3.51 (40323) {G0,W13,D2,L3,V5,M3} { ! alpha28( X, Y, Z, T ), ! ssList( U ),
% 3.11/3.51 alpha35( X, Y, Z, T, U ) }.
% 3.11/3.51 (40324) {G0,W11,D3,L2,V8,M2} { ssList( skol12( U, W, V0, V1 ) ), alpha28(
% 3.11/3.51 X, Y, Z, T ) }.
% 3.11/3.51 (40325) {G0,W15,D3,L2,V4,M2} { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T )
% 3.11/3.51 ), alpha28( X, Y, Z, T ) }.
% 3.11/3.51 (40326) {G0,W15,D2,L3,V6,M3} { ! alpha35( X, Y, Z, T, U ), ! ssList( W ),
% 3.11/3.51 alpha41( X, Y, Z, T, U, W ) }.
% 3.11/3.51 (40327) {G0,W13,D3,L2,V10,M2} { ssList( skol13( W, V0, V1, V2, V3 ) ),
% 3.11/3.51 alpha35( X, Y, Z, T, U ) }.
% 3.11/3.51 (40328) {G0,W18,D3,L2,V5,M2} { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z,
% 3.11/3.51 T, U ) ), alpha35( X, Y, Z, T, U ) }.
% 3.11/3.51 (40329) {G0,W21,D5,L3,V6,M3} { ! alpha41( X, Y, Z, T, U, W ), ! app( app(
% 3.11/3.51 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha12( Y, Z ) }.
% 3.11/3.51 (40330) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.11/3.51 = X, alpha41( X, Y, Z, T, U, W ) }.
% 3.11/3.51 (40331) {G0,W10,D2,L2,V6,M2} { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U,
% 3.11/3.51 W ) }.
% 3.11/3.51 (40332) {G0,W9,D2,L3,V2,M3} { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y,
% 3.11/3.51 X ) }.
% 3.11/3.51 (40333) {G0,W6,D2,L2,V2,M2} { leq( X, Y ), alpha12( X, Y ) }.
% 3.11/3.51 (40334) {G0,W6,D2,L2,V2,M2} { leq( Y, X ), alpha12( X, Y ) }.
% 3.11/3.51 (40335) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderP( X ), ! ssItem
% 3.11/3.51 ( Y ), alpha4( X, Y ) }.
% 3.11/3.51 (40336) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol14( Y ) ),
% 3.11/3.51 totalorderP( X ) }.
% 3.11/3.51 (40337) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha4( X, skol14( X ) ),
% 3.11/3.51 totalorderP( X ) }.
% 3.11/3.51 (40338) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X
% 3.11/3.51 , Y, Z ) }.
% 3.11/3.51 (40339) {G0,W7,D3,L2,V4,M2} { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 3.11/3.51 (40340) {G0,W9,D3,L2,V2,M2} { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X
% 3.11/3.51 , Y ) }.
% 3.11/3.51 (40341) {G0,W11,D2,L3,V4,M3} { ! alpha22( X, Y, Z ), ! ssList( T ),
% 3.11/3.51 alpha29( X, Y, Z, T ) }.
% 3.11/3.51 (40342) {G0,W9,D3,L2,V6,M2} { ssList( skol16( T, U, W ) ), alpha22( X, Y,
% 3.11/3.51 Z ) }.
% 3.11/3.51 (40343) {G0,W12,D3,L2,V3,M2} { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ),
% 3.11/3.51 alpha22( X, Y, Z ) }.
% 3.11/3.51 (40344) {G0,W13,D2,L3,V5,M3} { ! alpha29( X, Y, Z, T ), ! ssList( U ),
% 3.11/3.51 alpha36( X, Y, Z, T, U ) }.
% 3.11/3.51 (40345) {G0,W11,D3,L2,V8,M2} { ssList( skol17( U, W, V0, V1 ) ), alpha29(
% 3.11/3.51 X, Y, Z, T ) }.
% 3.11/3.51 (40346) {G0,W15,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T )
% 3.11/3.51 ), alpha29( X, Y, Z, T ) }.
% 3.11/3.51 (40347) {G0,W15,D2,L3,V6,M3} { ! alpha36( X, Y, Z, T, U ), ! ssList( W ),
% 3.11/3.51 alpha42( X, Y, Z, T, U, W ) }.
% 3.11/3.51 (40348) {G0,W13,D3,L2,V10,M2} { ssList( skol18( W, V0, V1, V2, V3 ) ),
% 3.11/3.51 alpha36( X, Y, Z, T, U ) }.
% 3.11/3.51 (40349) {G0,W18,D3,L2,V5,M2} { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z,
% 3.11/3.51 T, U ) ), alpha36( X, Y, Z, T, U ) }.
% 3.11/3.51 (40350) {G0,W21,D5,L3,V6,M3} { ! alpha42( X, Y, Z, T, U, W ), ! app( app(
% 3.11/3.51 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha13( Y, Z ) }.
% 3.11/3.51 (40351) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.11/3.51 = X, alpha42( X, Y, Z, T, U, W ) }.
% 3.11/3.51 (40352) {G0,W10,D2,L2,V6,M2} { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U,
% 3.11/3.51 W ) }.
% 3.11/3.51 (40353) {G0,W9,D2,L3,V2,M3} { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X )
% 3.11/3.51 }.
% 3.11/3.51 (40354) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), alpha13( X, Y ) }.
% 3.11/3.51 (40355) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), alpha13( X, Y ) }.
% 3.11/3.51 (40356) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderP( X ), ! ssItem
% 3.11/3.51 ( Y ), alpha5( X, Y ) }.
% 3.11/3.51 (40357) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol19( Y ) ),
% 3.11/3.51 strictorderP( X ) }.
% 3.11/3.51 (40358) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha5( X, skol19( X ) ),
% 3.11/3.51 strictorderP( X ) }.
% 3.11/3.51 (40359) {G0,W9,D2,L3,V3,M3} { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X
% 3.11/3.51 , Y, Z ) }.
% 3.11/3.51 (40360) {G0,W7,D3,L2,V4,M2} { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 3.11/3.51 (40361) {G0,W9,D3,L2,V2,M2} { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X
% 3.11/3.51 , Y ) }.
% 3.11/3.51 (40362) {G0,W11,D2,L3,V4,M3} { ! alpha23( X, Y, Z ), ! ssList( T ),
% 3.11/3.51 alpha30( X, Y, Z, T ) }.
% 3.11/3.51 (40363) {G0,W9,D3,L2,V6,M2} { ssList( skol21( T, U, W ) ), alpha23( X, Y,
% 3.11/3.51 Z ) }.
% 3.11/3.51 (40364) {G0,W12,D3,L2,V3,M2} { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ),
% 3.11/3.51 alpha23( X, Y, Z ) }.
% 3.11/3.51 (40365) {G0,W13,D2,L3,V5,M3} { ! alpha30( X, Y, Z, T ), ! ssList( U ),
% 3.11/3.51 alpha37( X, Y, Z, T, U ) }.
% 3.11/3.51 (40366) {G0,W11,D3,L2,V8,M2} { ssList( skol22( U, W, V0, V1 ) ), alpha30(
% 3.11/3.51 X, Y, Z, T ) }.
% 3.11/3.51 (40367) {G0,W15,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T )
% 3.11/3.51 ), alpha30( X, Y, Z, T ) }.
% 3.11/3.51 (40368) {G0,W15,D2,L3,V6,M3} { ! alpha37( X, Y, Z, T, U ), ! ssList( W ),
% 3.11/3.51 alpha43( X, Y, Z, T, U, W ) }.
% 3.11/3.51 (40369) {G0,W13,D3,L2,V10,M2} { ssList( skol23( W, V0, V1, V2, V3 ) ),
% 3.11/3.51 alpha37( X, Y, Z, T, U ) }.
% 3.11/3.51 (40370) {G0,W18,D3,L2,V5,M2} { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z,
% 3.11/3.51 T, U ) ), alpha37( X, Y, Z, T, U ) }.
% 3.11/3.51 (40371) {G0,W21,D5,L3,V6,M3} { ! alpha43( X, Y, Z, T, U, W ), ! app( app(
% 3.11/3.51 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha14( Y, Z ) }.
% 3.11/3.51 (40372) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.11/3.51 = X, alpha43( X, Y, Z, T, U, W ) }.
% 3.11/3.51 (40373) {G0,W10,D2,L2,V6,M2} { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U,
% 3.11/3.51 W ) }.
% 3.11/3.51 (40374) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X )
% 3.11/3.51 }.
% 3.11/3.51 (40375) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), alpha14( X, Y ) }.
% 3.11/3.51 (40376) {G0,W6,D2,L2,V2,M2} { ! lt( Y, X ), alpha14( X, Y ) }.
% 3.11/3.51 (40377) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderedP( X ), !
% 3.11/3.51 ssItem( Y ), alpha6( X, Y ) }.
% 3.11/3.51 (40378) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol24( Y ) ),
% 3.11/3.51 totalorderedP( X ) }.
% 3.11/3.51 (40379) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 3.11/3.51 totalorderedP( X ) }.
% 3.11/3.51 (40380) {G0,W9,D2,L3,V3,M3} { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X
% 3.11/3.51 , Y, Z ) }.
% 3.11/3.51 (40381) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 3.11/3.51 (40382) {G0,W9,D3,L2,V2,M2} { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X
% 3.11/3.51 , Y ) }.
% 3.11/3.51 (40383) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y, Z ), ! ssList( T ),
% 3.11/3.51 alpha24( X, Y, Z, T ) }.
% 3.11/3.51 (40384) {G0,W9,D3,L2,V6,M2} { ssList( skol26( T, U, W ) ), alpha15( X, Y,
% 3.11/3.51 Z ) }.
% 3.11/3.51 (40385) {G0,W12,D3,L2,V3,M2} { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ),
% 3.11/3.51 alpha15( X, Y, Z ) }.
% 3.11/3.51 (40386) {G0,W13,D2,L3,V5,M3} { ! alpha24( X, Y, Z, T ), ! ssList( U ),
% 3.11/3.51 alpha31( X, Y, Z, T, U ) }.
% 3.11/3.51 (40387) {G0,W11,D3,L2,V8,M2} { ssList( skol27( U, W, V0, V1 ) ), alpha24(
% 3.11/3.51 X, Y, Z, T ) }.
% 3.11/3.51 (40388) {G0,W15,D3,L2,V4,M2} { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T )
% 3.11/3.51 ), alpha24( X, Y, Z, T ) }.
% 3.11/3.51 (40389) {G0,W15,D2,L3,V6,M3} { ! alpha31( X, Y, Z, T, U ), ! ssList( W ),
% 3.11/3.51 alpha38( X, Y, Z, T, U, W ) }.
% 3.11/3.51 (40390) {G0,W13,D3,L2,V10,M2} { ssList( skol28( W, V0, V1, V2, V3 ) ),
% 3.11/3.51 alpha31( X, Y, Z, T, U ) }.
% 3.11/3.51 (40391) {G0,W18,D3,L2,V5,M2} { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z,
% 3.11/3.51 T, U ) ), alpha31( X, Y, Z, T, U ) }.
% 3.11/3.51 (40392) {G0,W21,D5,L3,V6,M3} { ! alpha38( X, Y, Z, T, U, W ), ! app( app(
% 3.11/3.51 T, cons( Y, U ) ), cons( Z, W ) ) = X, leq( Y, Z ) }.
% 3.11/3.51 (40393) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.11/3.51 = X, alpha38( X, Y, Z, T, U, W ) }.
% 3.11/3.51 (40394) {G0,W10,D2,L2,V6,M2} { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W )
% 3.11/3.51 }.
% 3.11/3.51 (40395) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderedP( X ), !
% 3.11/3.51 ssItem( Y ), alpha7( X, Y ) }.
% 3.11/3.51 (40396) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol29( Y ) ),
% 3.11/3.51 strictorderedP( X ) }.
% 3.11/3.51 (40397) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha7( X, skol29( X ) ),
% 3.11/3.51 strictorderedP( X ) }.
% 3.11/3.51 (40398) {G0,W9,D2,L3,V3,M3} { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X
% 3.11/3.51 , Y, Z ) }.
% 3.11/3.51 (40399) {G0,W7,D3,L2,V4,M2} { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 3.11/3.51 (40400) {G0,W9,D3,L2,V2,M2} { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X
% 3.11/3.51 , Y ) }.
% 3.11/3.51 (40401) {G0,W11,D2,L3,V4,M3} { ! alpha16( X, Y, Z ), ! ssList( T ),
% 3.11/3.51 alpha25( X, Y, Z, T ) }.
% 3.11/3.51 (40402) {G0,W9,D3,L2,V6,M2} { ssList( skol31( T, U, W ) ), alpha16( X, Y,
% 3.11/3.51 Z ) }.
% 3.11/3.51 (40403) {G0,W12,D3,L2,V3,M2} { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ),
% 3.11/3.51 alpha16( X, Y, Z ) }.
% 3.11/3.51 (40404) {G0,W13,D2,L3,V5,M3} { ! alpha25( X, Y, Z, T ), ! ssList( U ),
% 3.11/3.51 alpha32( X, Y, Z, T, U ) }.
% 3.11/3.51 (40405) {G0,W11,D3,L2,V8,M2} { ssList( skol32( U, W, V0, V1 ) ), alpha25(
% 3.11/3.51 X, Y, Z, T ) }.
% 3.11/3.51 (40406) {G0,W15,D3,L2,V4,M2} { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T )
% 3.11/3.51 ), alpha25( X, Y, Z, T ) }.
% 3.11/3.51 (40407) {G0,W15,D2,L3,V6,M3} { ! alpha32( X, Y, Z, T, U ), ! ssList( W ),
% 3.11/3.51 alpha39( X, Y, Z, T, U, W ) }.
% 3.11/3.51 (40408) {G0,W13,D3,L2,V10,M2} { ssList( skol33( W, V0, V1, V2, V3 ) ),
% 3.11/3.51 alpha32( X, Y, Z, T, U ) }.
% 3.11/3.51 (40409) {G0,W18,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z,
% 3.11/3.51 T, U ) ), alpha32( X, Y, Z, T, U ) }.
% 3.11/3.51 (40410) {G0,W21,D5,L3,V6,M3} { ! alpha39( X, Y, Z, T, U, W ), ! app( app(
% 3.11/3.51 T, cons( Y, U ) ), cons( Z, W ) ) = X, lt( Y, Z ) }.
% 3.11/3.51 (40411) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.11/3.51 = X, alpha39( X, Y, Z, T, U, W ) }.
% 3.11/3.51 (40412) {G0,W10,D2,L2,V6,M2} { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W )
% 3.11/3.51 }.
% 3.11/3.51 (40413) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! duplicatefreeP( X ), !
% 3.11/3.51 ssItem( Y ), alpha8( X, Y ) }.
% 3.11/3.51 (40414) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol34( Y ) ),
% 3.11/3.51 duplicatefreeP( X ) }.
% 3.11/3.51 (40415) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha8( X, skol34( X ) ),
% 3.11/3.51 duplicatefreeP( X ) }.
% 3.11/3.51 (40416) {G0,W9,D2,L3,V3,M3} { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X
% 3.11/3.51 , Y, Z ) }.
% 3.11/3.51 (40417) {G0,W7,D3,L2,V4,M2} { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 3.11/3.51 (40418) {G0,W9,D3,L2,V2,M2} { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X
% 3.11/3.51 , Y ) }.
% 3.11/3.51 (40419) {G0,W11,D2,L3,V4,M3} { ! alpha17( X, Y, Z ), ! ssList( T ),
% 3.11/3.51 alpha26( X, Y, Z, T ) }.
% 3.11/3.51 (40420) {G0,W9,D3,L2,V6,M2} { ssList( skol36( T, U, W ) ), alpha17( X, Y,
% 3.11/3.51 Z ) }.
% 3.11/3.51 (40421) {G0,W12,D3,L2,V3,M2} { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ),
% 3.11/3.51 alpha17( X, Y, Z ) }.
% 3.11/3.51 (40422) {G0,W13,D2,L3,V5,M3} { ! alpha26( X, Y, Z, T ), ! ssList( U ),
% 3.11/3.51 alpha33( X, Y, Z, T, U ) }.
% 3.11/3.51 (40423) {G0,W11,D3,L2,V8,M2} { ssList( skol37( U, W, V0, V1 ) ), alpha26(
% 3.11/3.51 X, Y, Z, T ) }.
% 3.11/3.51 (40424) {G0,W15,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T )
% 3.11/3.51 ), alpha26( X, Y, Z, T ) }.
% 3.11/3.51 (40425) {G0,W15,D2,L3,V6,M3} { ! alpha33( X, Y, Z, T, U ), ! ssList( W ),
% 3.11/3.51 alpha40( X, Y, Z, T, U, W ) }.
% 3.11/3.51 (40426) {G0,W13,D3,L2,V10,M2} { ssList( skol38( W, V0, V1, V2, V3 ) ),
% 3.11/3.51 alpha33( X, Y, Z, T, U ) }.
% 3.11/3.51 (40427) {G0,W18,D3,L2,V5,M2} { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z,
% 3.11/3.51 T, U ) ), alpha33( X, Y, Z, T, U ) }.
% 3.11/3.51 (40428) {G0,W21,D5,L3,V6,M3} { ! alpha40( X, Y, Z, T, U, W ), ! app( app(
% 3.11/3.51 T, cons( Y, U ) ), cons( Z, W ) ) = X, ! Y = Z }.
% 3.11/3.51 (40429) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.11/3.51 = X, alpha40( X, Y, Z, T, U, W ) }.
% 3.11/3.51 (40430) {G0,W10,D2,L2,V6,M2} { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 3.11/3.51 (40431) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! equalelemsP( X ), ! ssItem
% 3.11/3.51 ( Y ), alpha9( X, Y ) }.
% 3.11/3.51 (40432) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol39( Y ) ),
% 3.11/3.51 equalelemsP( X ) }.
% 3.11/3.51 (40433) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha9( X, skol39( X ) ),
% 3.11/3.51 equalelemsP( X ) }.
% 3.11/3.51 (40434) {G0,W9,D2,L3,V3,M3} { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X
% 3.11/3.51 , Y, Z ) }.
% 3.11/3.51 (40435) {G0,W7,D3,L2,V4,M2} { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 3.11/3.51 (40436) {G0,W9,D3,L2,V2,M2} { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X
% 3.11/3.51 , Y ) }.
% 3.11/3.51 (40437) {G0,W11,D2,L3,V4,M3} { ! alpha18( X, Y, Z ), ! ssList( T ),
% 3.11/3.51 alpha27( X, Y, Z, T ) }.
% 3.11/3.51 (40438) {G0,W9,D3,L2,V6,M2} { ssList( skol41( T, U, W ) ), alpha18( X, Y,
% 3.11/3.51 Z ) }.
% 3.11/3.51 (40439) {G0,W12,D3,L2,V3,M2} { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ),
% 3.11/3.51 alpha18( X, Y, Z ) }.
% 3.11/3.51 (40440) {G0,W13,D2,L3,V5,M3} { ! alpha27( X, Y, Z, T ), ! ssList( U ),
% 3.11/3.51 alpha34( X, Y, Z, T, U ) }.
% 3.11/3.51 (40441) {G0,W11,D3,L2,V8,M2} { ssList( skol42( U, W, V0, V1 ) ), alpha27(
% 3.11/3.51 X, Y, Z, T ) }.
% 3.11/3.51 (40442) {G0,W15,D3,L2,V4,M2} { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T )
% 3.11/3.51 ), alpha27( X, Y, Z, T ) }.
% 3.11/3.51 (40443) {G0,W18,D5,L3,V5,M3} { ! alpha34( X, Y, Z, T, U ), ! app( T, cons
% 3.11/3.51 ( Y, cons( Z, U ) ) ) = X, Y = Z }.
% 3.11/3.51 (40444) {G0,W15,D5,L2,V5,M2} { app( T, cons( Y, cons( Z, U ) ) ) = X,
% 3.11/3.51 alpha34( X, Y, Z, T, U ) }.
% 3.11/3.51 (40445) {G0,W9,D2,L2,V5,M2} { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 3.11/3.51 (40446) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 3.11/3.51 , ! X = Y }.
% 3.11/3.51 (40447) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 3.11/3.51 , Y ) }.
% 3.11/3.51 (40448) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ssList( cons(
% 3.11/3.51 Y, X ) ) }.
% 3.11/3.51 (40449) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 3.11/3.51 (40450) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X )
% 3.11/3.51 = X }.
% 3.11/3.51 (40451) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 3.11/3.51 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Z = T }.
% 3.11/3.51 (40452) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 3.11/3.51 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Y = X }.
% 3.11/3.51 (40453) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol43( Y )
% 3.11/3.51 ) }.
% 3.11/3.51 (40454) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol48( Y )
% 3.11/3.51 ) }.
% 3.11/3.51 (40455) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( skol48( X ),
% 3.11/3.51 skol43( X ) ) = X }.
% 3.11/3.51 (40456) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! nil = cons(
% 3.11/3.51 Y, X ) }.
% 3.11/3.51 (40457) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssItem( hd( X ) )
% 3.11/3.51 }.
% 3.11/3.51 (40458) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), hd( cons( Y,
% 3.11/3.51 X ) ) = Y }.
% 3.11/3.51 (40459) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssList( tl( X ) )
% 3.11/3.51 }.
% 3.11/3.51 (40460) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), tl( cons( Y,
% 3.11/3.51 X ) ) = X }.
% 3.11/3.51 (40461) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssList( Y ), ssList( app( X
% 3.11/3.51 , Y ) ) }.
% 3.11/3.51 (40462) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 3.11/3.51 , cons( Z, app( Y, X ) ) = app( cons( Z, Y ), X ) }.
% 3.11/3.51 (40463) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X }.
% 3.11/3.51 (40464) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 3.11/3.51 , ! leq( Y, X ), X = Y }.
% 3.11/3.51 (40465) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.11/3.51 , ! leq( X, Y ), ! leq( Y, Z ), leq( X, Z ) }.
% 3.11/3.51 (40466) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), leq( X, X ) }.
% 3.11/3.51 (40467) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 3.11/3.51 , leq( Y, X ) }.
% 3.11/3.51 (40468) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X )
% 3.11/3.51 , geq( X, Y ) }.
% 3.11/3.51 (40469) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 3.11/3.51 , ! lt( Y, X ) }.
% 3.11/3.51 (40470) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.11/3.51 , ! lt( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 3.11/3.51 (40471) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 3.11/3.51 , lt( Y, X ) }.
% 3.11/3.51 (40472) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X )
% 3.11/3.51 , gt( X, Y ) }.
% 3.11/3.51 (40473) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 3.11/3.51 , ! memberP( app( Y, Z ), X ), memberP( Y, X ), memberP( Z, X ) }.
% 3.11/3.51 (40474) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 3.11/3.51 , ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 3.11/3.51 (40475) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 3.11/3.51 , ! memberP( Z, X ), memberP( app( Y, Z ), X ) }.
% 3.11/3.51 (40476) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.11/3.51 , ! memberP( cons( Y, Z ), X ), X = Y, memberP( Z, X ) }.
% 3.11/3.51 (40477) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.11/3.51 , ! X = Y, memberP( cons( Y, Z ), X ) }.
% 3.11/3.51 (40478) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.11/3.51 , ! memberP( Z, X ), memberP( cons( Y, Z ), X ) }.
% 3.11/3.51 (40479) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! memberP( nil, X ) }.
% 3.11/3.51 (40480) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 3.11/3.51 (40481) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.11/3.51 , ! frontsegP( X, Y ), ! frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 3.11/3.51 (40482) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 3.11/3.51 X, Y ), ! frontsegP( Y, X ), X = Y }.
% 3.11/3.51 (40483) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, X ) }.
% 3.11/3.51 (40484) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.11/3.51 , ! frontsegP( X, Y ), frontsegP( app( X, Z ), Y ) }.
% 3.11/3.51 (40485) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.11/3.51 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), X = Y }.
% 3.11/3.51 (40486) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.11/3.51 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), frontsegP( Z
% 3.11/3.51 , T ) }.
% 3.11/3.51 (40487) {G0,W21,D3,L7,V4,M7} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.11/3.51 , ! ssList( T ), ! X = Y, ! frontsegP( Z, T ), frontsegP( cons( X, Z ),
% 3.11/3.51 cons( Y, T ) ) }.
% 3.11/3.51 (40488) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil ) }.
% 3.11/3.51 (40489) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! frontsegP( nil, X ), nil =
% 3.11/3.51 X }.
% 3.11/3.51 (40490) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP( nil, X
% 3.11/3.51 ) }.
% 3.11/3.51 (40491) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.11/3.51 , ! rearsegP( X, Y ), ! rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 3.11/3.51 (40492) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 3.11/3.51 , Y ), ! rearsegP( Y, X ), X = Y }.
% 3.11/3.51 (40493) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X ) }.
% 3.11/3.51 (40494) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.11/3.51 , ! rearsegP( X, Y ), rearsegP( app( Z, X ), Y ) }.
% 3.11/3.51 (40495) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, nil ) }.
% 3.11/3.51 (40496) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! rearsegP( nil, X ), nil = X
% 3.11/3.51 }.
% 3.11/3.51 (40497) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, rearsegP( nil, X )
% 3.11/3.51 }.
% 3.11/3.51 (40498) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.11/3.51 , ! segmentP( X, Y ), ! segmentP( Y, Z ), segmentP( X, Z ) }.
% 3.11/3.51 (40499) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 3.11/3.51 , Y ), ! segmentP( Y, X ), X = Y }.
% 3.11/3.51 (40500) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 3.11/3.51 (40501) {G0,W18,D4,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.11/3.51 , ! ssList( T ), ! segmentP( X, Y ), segmentP( app( app( Z, X ), T ), Y )
% 3.11/3.51 }.
% 3.11/3.51 (40502) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil ) }.
% 3.11/3.51 (40503) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! segmentP( nil, X ), nil = X
% 3.11/3.51 }.
% 3.11/3.51 (40504) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, segmentP( nil, X )
% 3.11/3.51 }.
% 3.11/3.51 (40505) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), cyclefreeP( cons( X, nil ) )
% 3.11/3.51 }.
% 3.11/3.51 (40506) {G0,W2,D2,L1,V0,M1} { cyclefreeP( nil ) }.
% 3.11/3.51 (40507) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderP( cons( X, nil ) )
% 3.11/3.51 }.
% 3.11/3.51 (40508) {G0,W2,D2,L1,V0,M1} { totalorderP( nil ) }.
% 3.11/3.51 (40509) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderP( cons( X, nil )
% 3.11/3.51 ) }.
% 3.11/3.51 (40510) {G0,W2,D2,L1,V0,M1} { strictorderP( nil ) }.
% 3.11/3.51 (40511) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons( X, nil )
% 3.11/3.51 ) }.
% 3.11/3.51 (40512) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 3.11/3.51 (40513) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 3.11/3.51 totalorderedP( cons( X, Y ) ), nil = Y, alpha10( X, Y ) }.
% 3.11/3.51 (40514) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 3.11/3.51 totalorderedP( cons( X, Y ) ) }.
% 3.11/3.51 (40515) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha10( X
% 3.11/3.51 , Y ), totalorderedP( cons( X, Y ) ) }.
% 3.11/3.51 (40516) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), ! nil = Y }.
% 3.11/3.51 (40517) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 3.11/3.51 (40518) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha19( X, Y ), alpha10( X, Y )
% 3.11/3.51 }.
% 3.11/3.51 (40519) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 3.11/3.51 (40520) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 3.11/3.51 (40521) {G0,W9,D3,L3,V2,M3} { ! totalorderedP( Y ), ! leq( X, hd( Y ) ),
% 3.11/3.51 alpha19( X, Y ) }.
% 3.11/3.51 (40522) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderedP( cons( X, nil
% 3.11/3.51 ) ) }.
% 3.11/3.51 (40523) {G0,W2,D2,L1,V0,M1} { strictorderedP( nil ) }.
% 3.11/3.51 (40524) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 3.11/3.51 strictorderedP( cons( X, Y ) ), nil = Y, alpha11( X, Y ) }.
% 3.11/3.51 (40525) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 3.11/3.51 strictorderedP( cons( X, Y ) ) }.
% 3.11/3.51 (40526) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha11( X
% 3.11/3.51 , Y ), strictorderedP( cons( X, Y ) ) }.
% 3.11/3.51 (40527) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), ! nil = Y }.
% 3.11/3.51 (40528) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 3.11/3.51 (40529) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha20( X, Y ), alpha11( X, Y )
% 3.11/3.51 }.
% 3.11/3.51 (40530) {G0,W5,D2,L2,V2,M2} { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 3.11/3.51 (40531) {G0,W7,D3,L2,V2,M2} { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 3.11/3.51 (40532) {G0,W9,D3,L3,V2,M3} { ! strictorderedP( Y ), ! lt( X, hd( Y ) ),
% 3.11/3.51 alpha20( X, Y ) }.
% 3.11/3.51 (40533) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), duplicatefreeP( cons( X, nil
% 3.11/3.51 ) ) }.
% 3.11/3.51 (40534) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( nil ) }.
% 3.11/3.51 (40535) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), equalelemsP( cons( X, nil ) )
% 3.11/3.51 }.
% 3.11/3.51 (40536) {G0,W2,D2,L1,V0,M1} { equalelemsP( nil ) }.
% 3.11/3.51 (40537) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol44( Y )
% 3.11/3.51 ) }.
% 3.11/3.51 (40538) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, hd( X ) = skol44( X
% 3.11/3.51 ) }.
% 3.11/3.51 (40539) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol45( Y )
% 3.11/3.51 ) }.
% 3.11/3.51 (40540) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, tl( X ) = skol45( X
% 3.11/3.51 ) }.
% 3.11/3.51 (40541) {G0,W23,D3,L7,V2,M7} { ! ssList( X ), ! ssList( Y ), nil = Y, nil
% 3.11/3.51 = X, ! hd( Y ) = hd( X ), ! tl( Y ) = tl( X ), Y = X }.
% 3.11/3.51 (40542) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( hd( X ), tl(
% 3.11/3.51 X ) ) = X }.
% 3.11/3.51 (40543) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.11/3.51 , ! app( Z, Y ) = app( X, Y ), Z = X }.
% 3.11/3.51 (40544) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.11/3.51 , ! app( Y, Z ) = app( Y, X ), Z = X }.
% 3.11/3.51 (40545) {G0,W13,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), cons( Y, X )
% 3.11/3.51 = app( cons( Y, nil ), X ) }.
% 3.11/3.51 (40546) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.11/3.51 , app( app( X, Y ), Z ) = app( X, app( Y, Z ) ) }.
% 3.11/3.51 (40547) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 3.11/3.51 X, Y ), nil = Y }.
% 3.11/3.51 (40548) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 3.11/3.51 X, Y ), nil = X }.
% 3.11/3.51 (40549) {G0,W15,D3,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! nil = Y, !
% 3.11/3.51 nil = X, nil = app( X, Y ) }.
% 3.11/3.51 (40550) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( X, nil ) = X }.
% 3.11/3.51 (40551) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, hd(
% 3.11/3.51 app( X, Y ) ) = hd( X ) }.
% 3.11/3.51 (40552) {G0,W16,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, tl(
% 3.11/3.51 app( X, Y ) ) = app( tl( X ), Y ) }.
% 3.11/3.51 (40553) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 3.11/3.51 , ! geq( Y, X ), X = Y }.
% 3.11/3.51 (40554) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.11/3.51 , ! geq( X, Y ), ! geq( Y, Z ), geq( X, Z ) }.
% 3.11/3.51 (40555) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), geq( X, X ) }.
% 3.11/3.51 (40556) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! lt( X, X ) }.
% 3.11/3.51 (40557) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.11/3.51 , ! leq( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 3.11/3.51 (40558) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 3.11/3.51 , X = Y, lt( X, Y ) }.
% 3.11/3.51 (40559) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 3.11/3.51 , ! X = Y }.
% 3.11/3.51 (40560) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 3.11/3.51 , leq( X, Y ) }.
% 3.11/3.51 (40561) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq
% 3.11/3.51 ( X, Y ), lt( X, Y ) }.
% 3.11/3.51 (40562) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 3.11/3.51 , ! gt( Y, X ) }.
% 3.11/3.51 (40563) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.11/3.51 , ! gt( X, Y ), ! gt( Y, Z ), gt( X, Z ) }.
% 3.11/3.51 (40564) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 3.11/3.51 (40565) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 3.11/3.51 (40566) {G0,W2,D2,L1,V0,M1} { ssList( skol50 ) }.
% 3.11/3.51 (40567) {G0,W2,D2,L1,V0,M1} { ssList( skol51 ) }.
% 3.11/3.51 (40568) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 3.11/3.51 (40569) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 3.11/3.51 (40570) {G0,W11,D2,L4,V1,M4} { ! ssList( X ), ! neq( X, nil ), ! segmentP
% 3.11/3.51 ( skol49, X ), ! segmentP( skol46, X ) }.
% 3.11/3.51 (40571) {G0,W2,D2,L1,V0,M1} { ssList( skol52 ) }.
% 3.11/3.51 (40572) {G0,W2,D2,L1,V0,M1} { ssList( skol53 ) }.
% 3.11/3.51 (40573) {G0,W7,D4,L1,V0,M1} { app( app( skol52, skol50 ), skol53 ) =
% 3.11/3.51 skol51 }.
% 3.11/3.51 (40574) {G0,W2,D2,L1,V0,M1} { equalelemsP( skol50 ) }.
% 3.11/3.51 (40575) {G0,W20,D4,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! app( Y,
% 3.11/3.51 cons( X, nil ) ) = skol52, ! ssList( Z ), ! app( cons( X, nil ), Z ) =
% 3.11/3.51 skol50 }.
% 3.11/3.51 (40576) {G0,W20,D4,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! app( cons(
% 3.11/3.51 X, nil ), Y ) = skol53, ! ssList( Z ), ! app( Z, cons( X, nil ) ) =
% 3.11/3.51 skol50 }.
% 3.11/3.51 (40577) {G0,W6,D2,L2,V0,M2} { nil = skol51, ! nil = skol50 }.
% 3.11/3.51 (40578) {G0,W6,D2,L2,V0,M2} { ! nil = skol49, ! nil = skol46 }.
% 3.11/3.51
% 3.11/3.51
% 3.11/3.51 Total Proof:
% 3.11/3.51
% 3.11/3.51 subsumption: (22) {G0,W13,D2,L5,V3,M5} I { ! ssList( X ), ! ssList( Y ), !
% 3.11/3.51 ssList( Z ), ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 3.11/3.51 parent0: (40310) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), !
% 3.11/3.51 ssList( Z ), ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 3.11/3.51 substitution0:
% 3.11/3.51 X := X
% 3.11/3.51 Y := Y
% 3.11/3.51 Z := Z
% 3.11/3.51 end
% 3.11/3.51 permutation0:
% 3.11/3.51 0 ==> 0
% 3.11/3.51 1 ==> 1
% 3.11/3.51 2 ==> 2
% 3.11/3.51 3 ==> 3
% 3.11/3.51 4 ==> 4
% 3.11/3.51 end
% 3.11/3.51
% 3.11/3.51 subsumption: (25) {G0,W13,D4,L3,V4,M3} I { ! ssList( T ), ! app( app( Z, Y
% 3.11/3.51 ), T ) = X, alpha2( X, Y, Z ) }.
% 3.11/3.51 parent0: (40313) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y )
% 3.11/3.51 , T ) = X, alpha2( X, Y, Z ) }.
% 3.11/3.51 substitution0:
% 3.11/3.51 X := X
% 3.11/3.51 Y := Y
% 3.11/3.51 Z := Z
% 3.11/3.51 T := T
% 3.11/3.51 end
% 3.11/3.51 permutation0:
% 3.11/3.51 0 ==> 0
% 3.11/3.51 1 ==> 1
% 3.11/3.51 2 ==> 2
% 3.11/3.51 end
% 3.11/3.51
% 3.11/3.51 subsumption: (159) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), X
% 3.11/3.51 = Y, neq( X, Y ) }.
% 3.11/3.51 parent0: (40447) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X =
% 3.11/3.51 Y, neq( X, Y ) }.
% 3.11/3.51 substitution0:
% 3.11/3.51 X := X
% 3.11/3.51 Y := Y
% 3.11/3.51 end
% 3.11/3.51 permutation0:
% 3.11/3.51 0 ==> 0
% 3.11/3.51 1 ==> 1
% 3.11/3.51 2 ==> 2
% 3.11/3.51 3 ==> 3
% 3.11/3.51 end
% 3.11/3.51
% 3.11/3.51 subsumption: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 3.16/3.53 parent0: (40449) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 3.16/3.53 substitution0:
% 3.16/3.53 end
% 3.16/3.53 permutation0:
% 3.16/3.53 0 ==> 0
% 3.16/3.53 end
% 3.16/3.53
% 3.16/3.53 subsumption: (212) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), segmentP( X, X )
% 3.16/3.53 }.
% 3.16/3.53 parent0: (40500) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 3.16/3.53 substitution0:
% 3.16/3.53 X := X
% 3.16/3.53 end
% 3.16/3.53 permutation0:
% 3.16/3.53 0 ==> 0
% 3.16/3.53 1 ==> 1
% 3.16/3.53 end
% 3.16/3.53
% 3.16/3.53 subsumption: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 3.16/3.53 parent0: (40564) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 3.16/3.53 substitution0:
% 3.16/3.53 end
% 3.16/3.53 permutation0:
% 3.16/3.53 0 ==> 0
% 3.16/3.53 end
% 3.16/3.53
% 3.16/3.53 subsumption: (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 3.16/3.53 parent0: (40565) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 3.16/3.53 substitution0:
% 3.16/3.53 end
% 3.16/3.53 permutation0:
% 3.16/3.53 0 ==> 0
% 3.16/3.53 end
% 3.16/3.53
% 3.16/3.53 eqswap: (42026) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 3.16/3.53 parent0[0]: (40568) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 3.16/3.53 substitution0:
% 3.16/3.53 end
% 3.16/3.53
% 3.16/3.53 subsumption: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 3.16/3.53 parent0: (42026) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 3.16/3.53 substitution0:
% 3.16/3.53 end
% 3.16/3.53 permutation0:
% 3.16/3.53 0 ==> 0
% 3.16/3.53 end
% 3.16/3.53
% 3.16/3.53 eqswap: (42374) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 3.16/3.53 parent0[0]: (40569) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 3.16/3.53 substitution0:
% 3.16/3.53 end
% 3.16/3.53
% 3.16/3.53 subsumption: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 3.16/3.53 parent0: (42374) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 3.16/3.53 substitution0:
% 3.16/3.53 end
% 3.16/3.53 permutation0:
% 3.16/3.53 0 ==> 0
% 3.16/3.53 end
% 3.16/3.53
% 3.16/3.53 subsumption: (281) {G0,W11,D2,L4,V1,M4} I { ! ssList( X ), ! neq( X, nil )
% 3.16/3.53 , ! segmentP( skol49, X ), ! segmentP( skol46, X ) }.
% 3.16/3.53 parent0: (40570) {G0,W11,D2,L4,V1,M4} { ! ssList( X ), ! neq( X, nil ), !
% 3.16/3.53 segmentP( skol49, X ), ! segmentP( skol46, X ) }.
% 3.16/3.53 substitution0:
% 3.16/3.53 X := X
% 3.16/3.53 end
% 3.16/3.53 permutation0:
% 3.16/3.53 0 ==> 0
% 3.16/3.53 1 ==> 1
% 3.16/3.53 2 ==> 2
% 3.16/3.53 3 ==> 3
% 3.16/3.53 end
% 3.16/3.53
% 3.16/3.53 subsumption: (282) {G0,W2,D2,L1,V0,M1} I { ssList( skol52 ) }.
% 3.16/3.53 parent0: (40571) {G0,W2,D2,L1,V0,M1} { ssList( skol52 ) }.
% 3.16/3.53 substitution0:
% 3.16/3.53 end
% 3.16/3.53 permutation0:
% 3.16/3.53 0 ==> 0
% 3.16/3.53 end
% 3.16/3.53
% 3.16/3.53 subsumption: (283) {G0,W2,D2,L1,V0,M1} I { ssList( skol53 ) }.
% 3.16/3.53 parent0: (40572) {G0,W2,D2,L1,V0,M1} { ssList( skol53 ) }.
% 3.16/3.53 substitution0:
% 3.16/3.53 end
% 3.16/3.53 permutation0:
% 3.16/3.53 0 ==> 0
% 3.16/3.53 end
% 3.16/3.53
% 3.16/3.53 paramod: (44350) {G1,W7,D4,L1,V0,M1} { app( app( skol52, skol46 ), skol53
% 3.16/3.53 ) = skol51 }.
% 3.16/3.53 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 3.16/3.53 parent1[0; 4]: (40573) {G0,W7,D4,L1,V0,M1} { app( app( skol52, skol50 ),
% 3.16/3.53 skol53 ) = skol51 }.
% 3.16/3.53 substitution0:
% 3.16/3.53 end
% 3.16/3.53 substitution1:
% 3.16/3.53 end
% 3.16/3.53
% 3.16/3.53 paramod: (44351) {G1,W7,D4,L1,V0,M1} { app( app( skol52, skol46 ), skol53
% 3.16/3.53 ) = skol49 }.
% 3.16/3.53 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 3.16/3.53 parent1[0; 6]: (44350) {G1,W7,D4,L1,V0,M1} { app( app( skol52, skol46 ),
% 3.16/3.53 skol53 ) = skol51 }.
% 3.16/3.53 substitution0:
% 3.16/3.53 end
% 3.16/3.53 substitution1:
% 3.16/3.53 end
% 3.16/3.53
% 3.16/3.53 subsumption: (284) {G1,W7,D4,L1,V0,M1} I;d(280);d(279) { app( app( skol52,
% 3.16/3.53 skol46 ), skol53 ) ==> skol49 }.
% 3.16/3.53 parent0: (44351) {G1,W7,D4,L1,V0,M1} { app( app( skol52, skol46 ), skol53
% 3.16/3.53 ) = skol49 }.
% 3.16/3.53 substitution0:
% 3.16/3.53 end
% 3.16/3.53 permutation0:
% 3.16/3.53 0 ==> 0
% 3.16/3.53 end
% 3.16/3.53
% 3.16/3.53 paramod: (45315) {G1,W6,D2,L2,V0,M2} { nil = skol49, ! nil = skol50 }.
% 3.16/3.53 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 3.16/3.53 parent1[0; 2]: (40577) {G0,W6,D2,L2,V0,M2} { nil = skol51, ! nil = skol50
% 3.16/3.53 }.
% 3.16/3.53 substitution0:
% 3.16/3.53 end
% 3.16/3.53 substitution1:
% 3.16/3.53 end
% 3.16/3.53
% 3.16/3.53 paramod: (45316) {G1,W6,D2,L2,V0,M2} { ! nil = skol46, nil = skol49 }.
% 3.16/3.53 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 3.16/3.53 parent1[1; 3]: (45315) {G1,W6,D2,L2,V0,M2} { nil = skol49, ! nil = skol50
% 3.16/3.53 }.
% 3.16/3.53 substitution0:
% 3.16/3.53 end
% 3.16/3.53 substitution1:
% 3.16/3.53 end
% 3.16/3.53
% 3.16/3.53 eqswap: (45318) {G1,W6,D2,L2,V0,M2} { skol49 = nil, ! nil = skol46 }.
% 3.16/3.53 parent0[1]: (45316) {G1,W6,D2,L2,V0,M2} { ! nil = skol46, nil = skol49 }.
% 3.16/3.53 substitution0:
% 3.16/3.53 end
% 3.16/3.53
% 3.16/3.53 eqswap: (45319) {G1,W6,D2,L2,V0,M2} { ! skol46 = nil, skol49 = nil }.
% 3.16/3.53 parent0[1]: (45318) {G1,W6,D2,L2,V0,M2} { skol49 = nil, ! nil = skol46 }.
% 3.16/3.53 substitution0:
% 3.16/3.53 end
% 3.16/3.53
% 3.16/3.53 subsumption: (288) {G1,W6,D2,L2,V0,M2} I;d(279);d(280) { skol49 ==> nil, !
% 3.16/3.53 skol46 ==> nil }.
% 3.16/3.53 parent0: (45319) {G1,W6,D2,L2,V0,M2} { ! skol46 = nil, skol49 = nil }.
% 3.16/3.53 substitution0:
% 3.16/3.53 end
% 3.16/3.53 permutation0:
% 3.16/3.53 0 ==> 1
% 3.16/3.53 1 ==> 0
% 3.16/3.53 end
% 3.16/3.53
% 3.16/3.53 eqswap: (46572) {G1,W6,D2,L2,V0,M2} { ! nil ==> skol46, skol49 ==> nil }.
% 3.16/3.53 parent0[1]: (288) {G1,W6,D2,L2,V0,M2} I;d(279);d(280) { skol49 ==> nil, !
% 3.16/3.53 skol46 ==> nil }.
% 3.16/3.53 substitution0:
% 3.16/3.53 enCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------